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Existence and Stability of Solutions to Nonlocal Parabolic Problems with Variable Exponent.
- Source :
-
AIP Conference Proceedings . 2019, Vol. 2074 Issue 1, p020012-1-020012-10. 10p. - Publication Year :
- 2019
-
Abstract
- We are studying a nonlinear nonlocal Dirichlet parabolic problem associated with the following p(x)-laplacian equation ∂u/∂t - a(∫Ω |∇u|p(x)/p(x)) Δ p(x)u = f(x,t). We apply Galerkin’s approximation technique, some uniform estimates and a compactness arguments to prove the existence result. Then we investigate the uniqueness of solutions, finally we give an answer to the asymptotic behavior question. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2074
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 134852609
- Full Text :
- https://doi.org/10.1063/1.5090629