Existence and uniqueness of weak solutions to quasilinear PDEs with critical data
Analysis of PDEs
2026-05-04 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
We establish existence and uniqueness of global, bounded weak solutions to quasilinear PDEs with bounded, uniformly continuous initial data and investigate their properties. Moreover, we establish existence of bounded weak solutions when the initial data is merely bounded.
Cite
@article{arxiv.2605.00439,
title = {Existence and uniqueness of weak solutions to quasilinear PDEs with critical data},
author = {Sebastian Bechtel and Pascal Auscher},
journal= {arXiv preprint arXiv:2605.00439},
year = {2026}
}
Comments
19 pages. Comments welcome