Weak solutions to nonlinear parabolic problems with variable exponent

Ahmed Jamea
2016 International Journal of Mathematical Analysis  
In this paper we prove existence and uniqueness of weak solutions to nonlinear parabolic problems with variable exponent with Neumann-type boundary conditions. Our approach is based essentially on time discretization technique by Euler forward scheme. Mathematics Subject Classification: 35B35, 35D30, 35K55, 35J62
doi:10.12988/ijma.2016.6223 fatcat:74553vy3zbeuvfz65xolyja3xq