Some basic properties of bounded solutions of parabolic equations with p-Laplacian diffusion
Analysis of PDEs
2017-06-06 v1
Abstract
We provide a detailed (and fully rigorous) derivation of several fundamental properties of bounded weak solutions to initial-value problems for general conservative 2nd-order parabolic equations with p-Laplacian diffusion and (arbitrary) bounded and integrable initial data.
Keywords
Cite
@article{arxiv.1706.01438,
title = {Some basic properties of bounded solutions of parabolic equations with p-Laplacian diffusion},
author = {Jocemar Q. Chagas and Patrícia L. Guidolin and Janaína P. Zingano},
journal= {arXiv preprint arXiv:1706.01438},
year = {2017}
}
Comments
This work provides a full derivation of various fundamental basic results much needed for more advanced works on bounded weak solutions to equations in the class considered here, some of which appear in the literature in a scattered form (if any)