Existence results for parabolic problems related to fully non linear operators degenerate or singular

TL;DR

This paper establishes existence and regularity results for parabolic equations involving fully nonlinear, possibly degenerate or singular operators, under certain boundary conditions on bounded domains.

Contribution

It provides new existence and regularity results for parabolic equations with singular or degenerate fully nonlinear operators under uniform ellipticity conditions.

Findings

Proved existence of solutions under specified boundary conditions.

Established regularity results for solutions.

Addressed equations with singular or degenerate operators.

Abstract

In this paper we prove some existence and regularity results concerning parabolic equations dtu = F(D u, D2 u) + f(x,u) with some boundary conditions, on Omega times ]0,T[, where Omega is some bounded domain which possesses the cone property and $F$ is singular or degenerate, with some uniform ellipticity conditions.