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On a nonlinear hyperbolic equation with anisotropy: Global existence and decay of solution

โœ Scribed by M. Sango


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
529 KB
Volume
70
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


We establish the existence of a global solution to an initial boundary value problem for the nonlinear anisotropic hyperbolic equation

Depending on the range of the p i 's, we derive an exponential and a polynomial decay for the global solution.


๐Ÿ“œ SIMILAR VOLUMES


Spatial ceasing and decay of solutions t
โœ Xiaosen Han; Mingxin Wang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 194 KB

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 alg