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Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation

✍ Scribed by Geng Chen; Robin Young


Book ID
113699234
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
187 KB
Volume
252
Category
Article
ISSN
0022-0396

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πŸ“œ SIMILAR VOLUMES


Formation of singularities for wave equa
✍ Sergiu Klainerman; Andrew Majda πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 726 KB

## Abstract Under very general assumptions, the authors prove that smooth solutions of quasilinear wave equations with small‐amplitude periodic initial data always develop singularities in the second derivatives in finite time. One consequence of these results is the fact that all solutions of the