Year: 2013
Author: Yunzhu Gao, Wenjie Gao
Communications in Mathematical Research , Vol. 29 (2013), Iss. 1 : pp. 61–67
Abstract
In this paper, we study a nonlinear parabolic system with variable exponents. The existence of classical solutions to an initial and boundary value problem is obtained by a fixed point theorem of the contraction mapping, and the blow-up property of solutions in finite time is obtained with the help of the eigenfunction of the Laplace equation and a delicate estimate.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-19029
Communications in Mathematical Research , Vol. 29 (2013), Iss. 1 : pp. 61–67
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: blow-up existence nonlinear parabolic system variable exponent.