On a nonlocal degenerate parabolic problem
Analysis of PDEs
2014-07-28 v1
Abstract
Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solutions as time tends to infinity are also studied. In particular, the finite time extinction and polynomial decay properties are proved.
Keywords
Cite
@article{arxiv.1407.6971,
title = {On a nonlocal degenerate parabolic problem},
author = {Rui M. P. Almeida and Stanislav N. Antontsev and José C. M. Duque},
journal= {arXiv preprint arXiv:1407.6971},
year = {2014}
}