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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On blow up of solutions of nonlinear evolution equations


Author: Philip Korman
Journal: Proc. Amer. Math. Soc. 103 (1988), 189-197
MSC: Primary 35L70; Secondary 35B05, 35B40
MathSciNet review: 938667
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Abstract: We give a complete description of domains of blow up for general second order inequalities, which allows us to obtain some new results on nonexistence of global solutions for nonlinear hyperbolic equations, both in $ {R^n}$ and bounded domains.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0938667-6
PII: S 0002-9939(1988)0938667-6
Keywords: Blow up of solutions, nonlinear evolution equations, phase plane analysis
Article copyright: © Copyright 1988 American Mathematical Society