Parabolic and Elliptic Schauder Theory on Manifolds for a Fourth-Order Problem with a First- and a Third-Order Boundary Condition
Analysis of PDEs
2023-04-11 v1
Abstract
These notes provide a self-contained introduction to Schauder theory on manifolds. First, we derive Schauder estimates for a fourth-order parabolic linear problem with a first- and third-order boundary condition on a smooth compact manifold M. Then, applying these, we prove the existence of solutions and study the associated elliptic problem.
Keywords
Cite
@article{arxiv.2304.04184,
title = {Parabolic and Elliptic Schauder Theory on Manifolds for a Fourth-Order Problem with a First- and a Third-Order Boundary Condition},
author = {Jan-Henrik Metsch},
journal= {arXiv preprint arXiv:2304.04184},
year = {2023}
}
Comments
111 pages, comments are welcome!