A Note on Quasilinear Parabolic Equations on Manifolds
Analysis of PDEs
2011-05-03 v3 Functional Analysis
Abstract
We prove short time existence, uniqueness and continuous dependence on the initial data of smooth solutions of quasilinear locally parabolic equations of arbitrary even order on closed manifolds.
Keywords
Cite
@article{arxiv.1010.0733,
title = {A Note on Quasilinear Parabolic Equations on Manifolds},
author = {Carlo Mantegazza and Luca Martinazzi},
journal= {arXiv preprint arXiv:1010.0733},
year = {2011}
}