@Article{CMR-29-1, author = {Yunzhu, Gao and Wenjie, Gao}, title = {Existence and Blow-up of Solutions for a Nonlinear Parabolic System with Variable Exponents}, journal = {Communications in Mathematical Research }, year = {2013}, volume = {29}, number = {1}, pages = {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.
}, issn = {2707-8523}, doi = {https://doi.org/2013-CMR-19029}, url = {https://global-sci.com/article/81779/existence-and-blow-up-of-solutions-for-a-nonlinear-parabolic-system-with-variable-exponents} }