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March  2002, 1(1): 103-125. doi: 10.3934/cpaa.2002.1.103

A new approach to study the Vlasov-Maxwell system

Sergiu Klainerman 1, and  Gigliola Staffilani 2,

1. 

Princeton University, United States
2. 

Stanford University, United States

Received  July 2001 Published  December 2001

We give a new proof based on Fourier Transform of the classical Glassey and Strauss [6] global existence result for the 3D relativistic Vlasov-Maxwell system, under the assumption of compactly supported particle densities. Though our proof is not substantially shorter than that of [6], we believe it adds a new perspective to the problem. In particular the proof is based on three main observations, see Facts 1-3 following the statement of Theorem 1.4, which are of independent interest.
Keywords: Vlasov-Maxwell system.
Mathematics Subject Classification: 65Mxx.
Citation: Sergiu Klainerman, Gigliola Staffilani. A new approach to study the Vlasov-Maxwell system. Communications on Pure and Applied Analysis, 2002, 1 (1) : 103-125. doi: 10.3934/cpaa.2002.1.103
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