Properties of the solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension-Reference-Cited by-同舟云学术

Properties of the solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension

Published:1974 Issue:2 Volume:43 Page:373-378
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Glassey Robert T.,Chadam John M.

Abstract

Solutions of the Maxwell-Dirac equations coupled through the standard electromagnetic interaction are shown to blow up at each spatial point for large times. This is used to show that these solutions do not tend asymptotically to free solutions. In addition it is used to prove that these equations do not admit a nontrivial stationary solution.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-043-02/S0002-9939-1974-0338586-2/S0002-9939-1974-0338586-2.pdf

Reference4 articles.

1. Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension;Chadam, John M.;J. Functional Analysis,1973

2. The Cauchy problem for the coupled Maxwell and Dirac equations;Gross, Leonard;Comm. Pure Appl. Math.,1966

3. On the existence and structure of stationary states for a nonlinear Klein-Gordon equation;Berger, Melvyn S.;J. Functional Analysis,1972

4. Non-linear semi-groups;Segal, Irving;Ann. of Math. (2),1963

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