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

Mathematics – Analysis of PDEs

Scientific paper

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44 pages, no figures

Scientific paper

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.

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