Comparison results for nonlinear anisotropic parabolic problems
Angela Alberico, Giuseppina di Blasio, Filomena Feo
TL;DR
This paper establishes comparison results for solutions to nonlinear anisotropic parabolic equations using semi-discretization in time and estimates for anisotropic elliptic problems, advancing understanding of solution behaviors.
Contribution
It introduces a semi-discretization method in time combined with elliptic problem estimates to derive comparison results for nonlinear anisotropic parabolic equations.
Findings
Comparison results for solutions are established.
Methodology involves semi-discretization in time.
Estimates for anisotropic elliptic problems are provided.
Abstract
Comparison results for solutions to the Dirichlet problems for a class of nonlinear, anisotropic parabolic equations are established. These results are obtained through a semi-discretization method in time after providing estimates for solutions to anisotropic elliptic problems with zero-order terms.
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