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arXiv:1807.01968 [math.AP]AbstractReferencesReviewsResources

Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain

Debora Amadori, Fatima Al-Zahrà Aqel, Edda Dal Santo

Published 2018-07-05Version 1

By relying on the probabilistic interpretation of the solution, we study the long-time behavior for a semilinear hyperbolic system with space-dependent and nonlinear damping term. The analysis provides error estimates of a class of approximate solutions and exponential convergence in $L^\infty$ towards a stationary solution.

Comments: 31 pages, 5 figures
Categories: math.AP
Subjects: 35L50, 35B40, 35L20
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