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Blow-up theorems for nonlinear wave equations

โœ Scribed by Robert T. Glassey


Publisher
Springer-Verlag
Year
1973
Tongue
French
Weight
766 KB
Volume
132
Category
Article
ISSN
0025-5874

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Blow-up and critical exponents for nonli
โœ V.A. Galaktionov; S.I. Pohozaev ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 159 KB

We prove nonexistence results for the Cauchy problem for the abstract hyperbolic equation in a Banach space X , where f : X โ†’ R is a C 1 -function. Several applications to the second-and higher-order hyperbolic equations with local and nonlocal nonlinearities are presented. We also describe an appr