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 q0 and the critical Fujita exponent qc for the problem considered, and show that q0=qc for the multi-dimensional Non-Newtonian polytropic filtration equation with nonlinear boundary sources, which is quite different from the known results that q0<qc 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.