@Article{CMR-29-61, author = {Gao , Yunzhu and Gao , Wenjie}, title = {Existence and Blow-up of Solutions for a Nonlinear Parabolic System with Variable Exponents}, journal = {Communications in Mathematical Research }, year = {2021}, 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/}, url = {http://global-sci.org/intro/article_detail/cmr/19029.html} }