Existence of solutions to nonlinear parabolic equations via majorant integral kernel
Analysis of PDEs
2021-01-19 v1
Abstract
We establish the existence of solutions to the Cauchy problem for a large class of nonlinear parabolic equations including fractional semilinear parabolic equations, higher-order semilinear parabolic equations, and viscous Hamilton-Jacobi equations by using the majorant kernel introduced in [K. Ishige, T. Kawakami, and S. Okabe, Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire 37 (2020), 1185--1209].
Keywords
Cite
@article{arxiv.2101.06581,
title = {Existence of solutions to nonlinear parabolic equations via majorant integral kernel},
author = {Kazuhiro Ishige and Tatsuki Kawakami and Shinya Okabe},
journal= {arXiv preprint arXiv:2101.06581},
year = {2021}
}