Dept. Math, Hokkaido Univ. EPrints Server

Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

Preprint Series # 607
Machihara,, Shuji and Nakamura,, Makoto and Nakanishi,, Kenji and Ozawa, Tohru Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation. (2003);

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Abstract

We prove endpoint Strichartz estimates for the Klein-Gordon and wave equations in mixed norms on the polar coordinates in three spatial dimensions. As an application, global wellposedness of the nonlinear Dirac equation is shown for small data in the energy class with some regularity assumption for the angular variable.

Item Type:Preprint
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:64