Bozorgnia, FaridLewintan, Peter2022-10-072022-10-072021-09-10Bozorgnia, F., & Lewintan, P. (2021). Decay estimates for solutions of evolutionary damped p-Laplace equations. <i>Electronic Journal of Differential Equations,2021</i>(73), pp. 1-9.1072-6691https://hdl.handle.net/10877/16203In 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.Text9 pages1 file (.pdf)enAttribution 4.0 Internationalp-LaplaceTelegraph equationAsymptotic behaviorConvexityDecay estimates for solutions of evolutionary damped p-Laplace equationsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.