A Short Proof of Increased Parabolic Regularity
Analysis of PDEs
2015-09-01 v1
Abstract
We present a new, short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, our new method of proof, which uses a priori estimates, can be extended to prove analogous results for problems with time-dependent coefficients, transport equations, and nonlinear equations even when other tools, such as semigroup methods or the use of explicit fundamental solutions, are unavailable.
Cite
@article{arxiv.1502.01773,
title = {A Short Proof of Increased Parabolic Regularity},
author = {Stephen Pankavich and Nicholas Michalowski},
journal= {arXiv preprint arXiv:1502.01773},
year = {2015}
}
Comments
8 pages