TY - JOUR
A2 - Li, Dongfang
AU - Al-Smail, Jamal H.
AU - Messaoudi, Salim A.
AU - Talahmeh, Ala A.
PY - 2018
DA - 2018/03/01
TI - Well-Posedness and Numerical Study for Solutions of a Parabolic Equation with Variable-Exponent Nonlinearities
SP - 9754567
VL - 2018
AB - We consider the following nonlinear parabolic equation: ut-div(|∇u|p(x)-2∇u)=f(x,t), where f:Ω×(0,T)→R and the exponent of nonlinearity p(·) are given functions. By using a nonlinear operator theory, we prove the existence and uniqueness of weak solutions under suitable assumptions. We also give a two-dimensional numerical example to illustrate the decay of solutions.
SN - 1687-9643
UR - https://doi.org/10.1155/2018/9754567
DO - 10.1155/2018/9754567
JF - International Journal of Differential Equations
PB - Hindawi
KW -
ER -