@Article{AAM-35-2, author = {Qingying, Hu and Li, Donghao and Zhang, Hongwei}, title = {A Blow-Up Result for a Class Doubly Nonlinear Parabolic Equations with Variable-Exponent Nonlinearities}, journal = {Annals of Applied Mathematics}, year = {2019}, volume = {35}, number = {2}, pages = {145--151}, abstract = {
This paper deals with the following doubly nonlinear parabolic equations ($u$ + |$u$|$r(x)$−2$u$)$t$ − div(|∇$u$|$m(x)$−2∇$u$) = |$u$|$p(x)$−2$u$, where the exponents of nonlinearity $r(x)$, $m(x)$ and $p(x)$ are given functions. Under some appropriate assumptions on the exponents of nonlinearity, and with certain initial data, a blow-up result is established with positive initial energy.
}, issn = {}, doi = {https://doi.org/2019-AAM-18073}, url = {https://global-sci.com/article/72691/a-blow-up-result-for-a-class-doubly-nonlinear-parabolic-equations-with-variable-exponent-nonlinearities} }