@Article{CMR-28-4, author = {Jinglu, Gao and Guo, Bin}, title = {Extinction of Weak Solutions for Nonlinear Parabolic Equations with Nonstandard Growth Conditions}, journal = {Communications in Mathematical Research }, year = {2012}, volume = {28}, number = {4}, pages = {376--382}, abstract = {
This paper deals with the extinction of weak solutions of the initial and boundary value problem for $u_t$ = div$((|u|^σ + d_0)|∇u|^{p(x)−2}∇u)$. When the exponent belongs to different intervals, the solution has different singularity (vanishing in finite time).
}, issn = {2707-8523}, doi = {https://doi.org/2012-CMR-19040}, url = {https://global-sci.com/article/81849/extinction-of-weak-solutions-for-nonlinear-parabolic-equations-with-nonstandard-growth-conditions} }