Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations
Analysis of PDEs
2026-04-21 v2
Abstract
We prove the existence of solutions to the Cauchy-Dirichlet problem associated with a class of fully nonlinear anisotropic evolution equations. We prove a comparison principle and conclude the uniqueness of solutions. All results are obtained under a closeness assumption on the exponents which guarantees that a certain power of the solution has a gradient.
Cite
@article{arxiv.2508.02491,
title = {Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations},
author = {Antonella Nastasi and Emiliano Peña Ayala and Matias Vestberg},
journal= {arXiv preprint arXiv:2508.02491},
year = {2026}
}
Comments
47 pages