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Spatial ceasing and decay of solutions to nonlinear hyperbolic equations with nonlinear boundary conditions

โœ Scribed by Xiaosen Han; Mingxin Wang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
194 KB
Volume
21
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this work we study the spatial behavior of solutions to some nonlinear hyperbolic equations with nonlinear boundary conditions. Under suitable conditions, by using the weighted energy method, we prove that the solutions either cease to exist for a finite value of the spatial variable or decay algebraically in the spatial variable.

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