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Bibliographic Details
Main Author: Vestberg, Matias
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2407.02609
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Table of Contents:
  • We prove the existence of solutions to the Cauchy-Dirichlet problem associated with a class of doubly nonlinear anisotropic evolution equations. We also demonstrate the existence of solutions to the corresponding Cauchy problem on $\mathbb{R}^N\times(0,T)$. Under some assumptions on the Caratheodory vector field we prove a comparison principle and utilize it to obtain a uniqueness result for the Cauchy-Dirichlet problem.