2011 | OriginalPaper | Chapter
Quasilinear Symmetric Systems
Authors : Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin
Published in: Fourier Analysis and Nonlinear Partial Differential Equations
Publisher: Springer Berlin Heidelberg
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Chapter 4 is devoted to solving linear and quasilinear symmetric systems with data in Sobolev spaces. Blow-up criteria and results concerning the continuity of the flow map are also given. The case of data with critical regularity (in a Besov space) is also investigated.