Decay estimates for solutions of evolutionary damped p-Laplace equations
| dc.contributor.author | Bozorgnia, Farid | |
| dc.contributor.author | Lewintan, Peter | |
| dc.date.accessioned | 2022-10-07T20:06:25Z | |
| dc.date.available | 2022-10-07T20:06:25Z | |
| dc.date.issued | 2021-09-10 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16203 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | p-Laplace | |
| dc.subject | Telegraph equation | |
| dc.subject | Asymptotic behavior | |
| dc.subject | Convexity | |
| dc.title | Decay estimates for solutions of evolutionary damped p-Laplace equations | |
| dc.type | Article |