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1.
On Classical Solutions of the Relativistic VlasovKleinGordon System
Open Access
Title:
On Classical Solutions of the Relativistic VlasovKleinGordon System
Author:
Kunzinger, Michael
;
Rein, Gerhard
;
Steinbauer, Roland
;
Teschl, Gerald
Kunzinger, Michael
;
Rein, Gerhard
;
Steinbauer, Roland
;
Teschl, Gerald
Minimize authors
Description:
We consider a collisionless ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the par...
We consider a collisionless ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the onedimensional case. ; Comment: 18 pages, LaTeX
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Year of Publication:
20040702
Document Type:
text
Subjects:
Mathematics  Analysis of PDEs ; Mathematical Physics ; 35A07 ; 35Q72 ; 35Q40 ; 82C22
Mathematics  Analysis of PDEs ; Mathematical Physics ; 35A07 ; 35Q72 ; 35Q40 ; 82C22
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URL:
http://arxiv.org/abs/math/0407028
http://arxiv.org/abs/math/0407028
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2.
On classical solutions of the relativistic VlasovKleinGordon system
Open Access
Title:
On classical solutions of the relativistic VlasovKleinGordon system
Author:
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald Teschl
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald Teschl
Minimize authors
Description:
We consider a collisionless ensemble of classical particles coupled with a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the p...
We consider a collisionless ensemble of classical particles coupled with a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the onedimensional case.
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Publisher:
Texas State University, Department of Mathematics
Year of Publication:
20050101T00:00:00Z
Document Type:
article
Language:
English
Subjects:
Vlasov equation ; KleinGordon equation ; classical solutions. ; LCC:Mathematics ; LCC:QA1939 ; LCC:Science ; LCC:Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics ; LCC:Mathematics ; LCC:QA1939 ; LCC:Science ; LCC:Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics ; LCC:Mathematics ; LCC:QA1939 ; LCC:Science ; LCC:Q ; DOAJ:Mathemati...
Vlasov equation ; KleinGordon equation ; classical solutions. ; LCC:Mathematics ; LCC:QA1939 ; LCC:Science ; LCC:Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics ; LCC:Mathematics ; LCC:QA1939 ; LCC:Science ; LCC:Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics ; LCC:Mathematics ; LCC:QA1939 ; LCC:Science ; LCC:Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics ; LCC:Mathematics ; LCC:QA1939 ; LCC:Science ; LCC:Q ; LCC:Mathematics ; LCC:QA1939 ; LCC:Science ; LCC:Q
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http://ejde.math.txstate.edu/Volumes/2005/01/abstr.html
URL:
http://doaj.org/search?source=%7B%22query%22%3A%7B%22bool%22%3A%7B%22must%22%3A%5B%7B%22term%22%3...
http://doaj.org/search?source=%7B%22query%22%3A%7B%22bool%22%3A%7B%22must%22%3A%5B%7B%22term%22%3...
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3.
Global Weak Solutions of the Relativistic VlasovKleinGordon System
Open Access
Title:
Global Weak Solutions of the Relativistic VlasovKleinGordon System
Author:
Kunzinger, Michael
;
Rein, Gerhard
;
Steinbauer, Roland
;
Teschl, Gerald
Kunzinger, Michael
;
Rein, Gerhard
;
Steinbauer, Roland
;
Teschl, Gerald
Minimize authors
Description:
We consider an ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, which we call the relativistic VlasovKleinGordon system, we prove the existence of global weak solutions for initial data satisfying a size restriction. The latter becomes necessary since the ene...
We consider an ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, which we call the relativistic VlasovKleinGordon system, we prove the existence of global weak solutions for initial data satisfying a size restriction. The latter becomes necessary since the energy of the system is indefinite, and only for restricted data apriori bounds on the solutions can be derived from conservation of energy. ; Comment: Latex, 11 pages, some typos corrected
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Year of Publication:
20020923
Document Type:
text
Subjects:
Mathematics  Analysis of PDEs ; Mathematical Physics ; Primary 35D05 ; 35Q72 ; Secondary 35Q40 ; 82C22
Mathematics  Analysis of PDEs ; Mathematical Physics ; Primary 35D05 ; 35Q72 ; Secondary 35Q40 ; 82C22
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URL:
http://arxiv.org/abs/math/0209303
http://arxiv.org/abs/math/0209303
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4.
ON CLASSICAL SOLUTIONS OF THE RELATIVISTIC VLASOVKLEINGORDON SYSTEM
Open Access
Title:
ON CLASSICAL SOLUTIONS OF THE RELATIVISTIC VLASOVKLEINGORDON SYSTEM
Author:
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald Teschl
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald Teschl
Minimize authors
Description:
We consider a collisionless ensemble of classical particles coupled with a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the pa...
We consider a collisionless ensemble of classical particles coupled with a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the onedimensional case.
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20110306
Source:
http://www.hyke.org/preprint/2004/17/174.pdf
http://www.hyke.org/preprint/2004/17/174.pdf
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Document Type:
text
Language:
en
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.5872
http://www.hyke.org/preprint/2004/17/174.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.5872
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5.
2005], On classical solutions of the relativistic Vlasov–Klein–Gordon system
Open Access
Title:
2005], On classical solutions of the relativistic Vlasov–Klein–Gordon system
Author:
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald
Minimize authors
Description:
Abstract. We consider a collisionless ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only i...
Abstract. We consider a collisionless ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the onedimensional case. 1.
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20090916
Source:
http://www.hyke.org/preprint/2004/13/132.pdf
http://www.hyke.org/preprint/2004/13/132.pdf
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Document Type:
text
Language:
en
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Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.6206
http://www.hyke.org/preprint/2004/13/132.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.6206
http://www.hyke.org/preprint/2004/13/132.pdf
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6.
Global weak solutions to the relativistic VlasovMaxwell system revisited
Open Access
Title:
Global weak solutions to the relativistic VlasovMaxwell system revisited
Author:
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald
Minimize authors
Description:
Abstract. We consider an ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, which we call the relativistic VlasovKleinGordon system, we prove the existence of global weak solutions for initial data satisfying a size restriction. The latter becomes necessary sin...
Abstract. We consider an ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, which we call the relativistic VlasovKleinGordon system, we prove the existence of global weak solutions for initial data satisfying a size restriction. The latter becomes necessary since the energy of the system is indefinite, and only for restricted data apriori bounds on the solutions can be derived from conservation of energy. 1.
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20120615
Source:
http://www.mat.univie.ac.at/%7Egerald/ftp/articles/VlasovKG.pdf
http://www.mat.univie.ac.at/%7Egerald/ftp/articles/VlasovKG.pdf
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Document Type:
text
Language:
en
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.232.3062
http://www.mat.univie.ac.at/%7Egerald/ftp/articles/VlasovKG.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.232.3062
http://www.mat.univie.ac.at/%7Egerald/ftp/articles/VlasovKG.pdf
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7.
ftp ejde.math.txstate.edu (login: ftp) ON CLASSICAL SOLUTIONS OF THE RELATIVISTIC VLASOVKLEINGORDON SYSTEM
Open Access
Title:
ftp ejde.math.txstate.edu (login: ftp) ON CLASSICAL SOLUTIONS OF THE RELATIVISTIC VLASOVKLEINGORDON SYSTEM
Author:
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald Teschl
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald Teschl
Minimize authors
Description:
Abstract. We consider a collisionless ensemble of classical particles coupled with a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only...
Abstract. We consider a collisionless ensemble of classical particles coupled with a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the onedimensional case. 1.
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Year of Publication:
20120615
Source:
http://www.mat.univie.ac.at/%7Egerald/ftp/articles/VlasovKG2.pdf
http://www.mat.univie.ac.at/%7Egerald/ftp/articles/VlasovKG2.pdf
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Document Type:
text
Language:
en
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.232.3135
http://www.mat.univie.ac.at/%7Egerald/ftp/articles/VlasovKG2.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.232.3135
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8.
On classical solutions of the relativistic Vlasov–Klein–Gordon system
Open Access
Title:
On classical solutions of the relativistic Vlasov–Klein–Gordon system
Author:
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald
Minimize authors
Description:
Abstract. We consider a collisionless ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only i...
Abstract. We consider a collisionless ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the onedimensional case. 1.
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Contributors:
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Year of Publication:
20121101
Source:
http://arxiv.org/pdf/math/0407028v1.pdf
http://arxiv.org/pdf/math/0407028v1.pdf
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Language:
en
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.235.2587
http://arxiv.org/pdf/math/0407028v1.pdf
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9.
Global weak solutions to the relativistic VlasovMaxwell system revisited
Open Access
Title:
Global weak solutions to the relativistic VlasovMaxwell system revisited
Author:
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald
Minimize authors
Description:
Abstract. We consider an ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, which we call the relativistic VlasovKleinGordon system, we prove the existence of global weak solutions for initial data satisfying a size restriction. The latter becomes necessary sin...
Abstract. We consider an ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, which we call the relativistic VlasovKleinGordon system, we prove the existence of global weak solutions for initial data satisfying a size restriction. The latter becomes necessary since the energy of the system is indefinite, and only for restricted data apriori bounds on the solutions can be derived from conservation of energy. 1.
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Year of Publication:
20121106
Source:
http://arxiv.org/pdf/math/0209303v1.pdf
http://arxiv.org/pdf/math/0209303v1.pdf
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http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.236.9360
http://arxiv.org/pdf/math/0209303v1.pdf
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http://arxiv.org/pdf/math/0209303v1.pdf
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10.
ON CLASSICAL SOLUTIONS OF THE RELATIVISTIC VLASOVKLEINGORDON SYSTEM
Open Access
Title:
ON CLASSICAL SOLUTIONS OF THE RELATIVISTIC VLASOVKLEINGORDON SYSTEM
Author:
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald Teschl
Michael Kunzinger
;
Gerhard Rein
;
Roland Steinbauer
;
Gerald Teschl
Minimize authors
Description:
We consider a collisionless ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the part...
We consider a collisionless ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, the relativistic VlasovKleinGordon system, we prove localintime existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the onedimensional case.
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Contributors:
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Year of Publication:
20110306
Source:
http://www.esi.ac.at/preprints/esi1495.pdf
http://www.esi.ac.at/preprints/esi1495.pdf
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http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.3934
http://www.esi.ac.at/preprints/esi1495.pdf
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