Decay estimates for solutions of evolutionary damped p-Laplace equations
Date
2021-09-10
Authors
Bozorgnia, Farid
Lewintan, Peter
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this note, we study the asymptotic behavior, as t tends to infinity, of the solution u to the evolutionary damped p-Laplace equation
utt + αut = ∆pu
with Dirichlet boundary conditions. Let u* denote the stationary solution with same boundary values, then we prove the W1,p</sup>-norm of u(t) - u* decays for large t like t -1/(p-1)p, in the degenerate case p > 2.
Description
Keywords
p-Laplace, Telegraph equation, Asymptotic behavior, Convexity
Citation
Bozorgnia, F., & Lewintan, P. (2021). Decay estimates for solutions of evolutionary damped p-Laplace equations. <i>Electronic Journal of Differential Equations,2021</i>(73), pp. 1-9.
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Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.