On a nonlinear heat equation associated with Dirichlet -- Robin conditions
Analysis of PDEs
2010-10-22 v1
Abstract
This paper is devoted to the study of a nonlinear heat equation associated with Dirichlet-Robin conditions. At first, we use the Faedo -- Galerkin and the compactness method to prove existence and uniqueness results. Next, we consider the properties of solutions. We obtain that if the initial condition is bounded then so is the solution and we also get asymptotic behavior of solutions as. Finally, we give numerical results
Cite
@article{arxiv.1010.4444,
title = {On a nonlinear heat equation associated with Dirichlet -- Robin conditions},
author = {Le Thi Phuong Ngoc and Nguyen Van Y and Alain Pham Ngoc Dinh and Nguyen Thanh Long},
journal= {arXiv preprint arXiv:1010.4444},
year = {2010}
}
Comments
20 pages