Microloal Regularity of Besov type for solutions to quasi elliptic non linear partial differential equations

TL;DR

This paper investigates the microlocal regularity of solutions to nonlinear PDEs within Besov spaces, utilizing linearization and pseudodifferential operator techniques to extend understanding of solution smoothness.

Contribution

It introduces new microlocal regularity results in Besov spaces for nonlinear PDE solutions using linearization and pseudodifferential operator methods.

Findings

Microlocal regularity results established in Besov spaces.

Extension of regularity theory to nonlinear PDEs.

Application of pseudodifferential operator microlocal properties.

Abstract

Using a standard linearization technique and previously obtained microlocal properties for pseudodifferential operators with smooth coefficients, the authors state results of microlocal regularity in generalized Besov spaces for solutions to non linear PDE.