Variable exponent perturbation of a parabolic equation with p(x)-Laplacian
This paper is concerned with the study of the global existence and the decay of solutions of an evolution problem driven by an anisotropic operator and a nonlinear perturbation, both of them having a variable exponent. Because the nonlinear perturbation leads to difficulties in obtaining a priori es...
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Laplace-egyenlet, Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2019.1.60 |
| Online Access: | http://acta.bibl.u-szeged.hu/62284 |
| LEADER | 01429nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta62284 | ||
| 005 | 20210916104224.0 | ||
| 008 | 190930s2019 hu o 0|| zxx d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2019.1.60 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Louredo Aldo Trajano | |
| 245 | 1 | 0 | |a Variable exponent perturbation of a parabolic equation with p(x)-Laplacian |h [elektronikus dokumentum] / |c Louredo Aldo Trajano |
| 260 | |c 2019 | ||
| 300 | |a 1-14 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a This paper is concerned with the study of the global existence and the decay of solutions of an evolution problem driven by an anisotropic operator and a nonlinear perturbation, both of them having a variable exponent. Because the nonlinear perturbation leads to difficulties in obtaining a priori estimates in the energy method, we had to significantly modify the Tartar method. As a result, we could prove the existence of global solutions at least for small initial data. The decay of the energy is derived by using a differential inequality and applying a non-standard approach. | |
| 695 | |a Laplace-egyenlet, Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Miranda Manuel Milla |e aut |
| 700 | 0 | 1 | |a Clark Marcondes R. |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/62284/1/ejqtde_2019_060_001-014.pdf |z Dokumentum-elérés |