Numerical analysis of nonlinear parabolic problems with variable exponent and $L^1$ data

Abstract

In this paper, we make the numerical analysis of the mild solution which is also an entropy solution of parabolic problem involving the $p(x)-$Laplacian operator with $L^1-$ data.

Keywords

• elliptic-parabolic
• numerical iterative method
• variable exponent
• mild solution
• renormalized solution