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Potential Analysis

, Volume 35, Issue 1, pp 1–38 | Cite as

Existence’s Results for Parabolic Problems Related to Fully Non Linear Operators Degenerate or Singular

  • Francoise Demengel
Article

Abstract

In this paper we prove some existence and regularity results concerning parabolic equations
$$ u_t = F(x, \nabla u, D^2 u) + f(x,t) $$
with some boundary conditions, on Ω×]0, T[, where Ω is some bounded domain which possesses the exterior cone property and F is some fully nonlinear elliptic operator, singular or degenerate.

Keywords

Viscocity solutions Evolution problems Comparison principle 

Mathematics Subject Classifications (2010)

35J60 35J70 35K10 35K20 35K60 35K65 

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.University of Cergy-PontoiseCergy-PontoiseFrance

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