Semi-linear wave equations
Copyright policy )Semi-linear wave equations
We survey existence and regularity results for semi-linear wave equations. In particular, we review the recent regularity results for the u 5 {u^5} -Klein Gordon equation by Grillakis and this author and give a self-contained, slightly simplified proof.
regularity, Research exposition (monographs, survey articles) pertaining to partial differential equations, existence, Mathematics - Analysis of PDEs, FOS: Mathematics, Wave equation, General existence and uniqueness theorems (PDE), Klein-Gordon equation, initial value problems, Second-order nonlinear hyperbolic equations, PDEs in connection with quantum mechanics, Analysis of PDEs (math.AP)
regularity, Research exposition (monographs, survey articles) pertaining to partial differential equations, existence, Mathematics - Analysis of PDEs, FOS: Mathematics, Wave equation, General existence and uniqueness theorems (PDE), Klein-Gordon equation, initial value problems, Second-order nonlinear hyperbolic equations, PDEs in connection with quantum mechanics, Analysis of PDEs (math.AP)
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