Year: 2011
Author: Lusheng Wang, Zejia Wang
Communications in Mathematical Research , Vol. 27 (2011), Iss. 2 : pp. 97–104
Abstract
In this paper, we study the large time behavior of solutions to a class of fast diffusion equations with nonlinear boundary sources on the exterior domain of the unit ball. We are interested in the critical global exponent $q_0$ and the critical Fujita exponent $q_c$ for the problem considered, and show that $q_0 = q_c$ for the multi-dimensional Non-Newtonian polytropic filtration equation with nonlinear boundary sources, which is quite different from the known results that $q_0 < q_c$ for the one-dimensional case; moreover, the value is different from the slow case.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-CMR-19092
Communications in Mathematical Research , Vol. 27 (2011), Iss. 2 : pp. 97–104
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: exterior domain critical global exponent critical Fujita exponent fast diffusion equation.