Entropy solutions to a strongly degenerate anisotropic convection-diffusion equation, with application to the backward-forward stochastic differential utility

Abstract
We study the deterministic counterpart of a backward-forward stochastic differential utility, which has recently been characterized as the solution to the Cauchy problem related to a PDE of degenerate parabolic type in two spatial variables, with a rank-1 diffusion and a conservative first order term. We first establish a local existence result for strong solutions and a continuation principle, and we produce a counterexample showing that, in general, strong solutions fail to be globally.
Anno
2003
Autori IAC
Tipo pubblicazione
Altri Autori
Amadori A.L., Natalini R.
Editore
Academic Press.
Rivista
Journal of mathematical analysis and applications (Print)