𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Existence of Solutions for Nonlinear Parabolic Problems with Nonmonotone Discontinuities

✍ Scribed by Nikolaos S. Papageorgiou

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
242 KB
Volume
205
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone nonlinearity. We assume the existence of an upper solution and a lower solution such that F . Using results from the theory of pseudomonotone operators and from the theory of multivalued analysis together with truncation and penalization techniques, we show that there exists at least one solution Ε½ . Ε½ . Ε½ . Ε½ . x t, z such that t, z F x t, z F t, z a.e. on T = Z.

πŸ“œ SIMILAR VOLUMES

Existence and high regularity of the sol
Existence and high regularity of the solution of a nonlinear parabolic problem with algebraic-differential boundary conditions
✍ Gh. Moroşanu; W. L. Wendland πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 157 KB

## Abstract In this paper we investigate a nonlinear 1D parabolic problem with algebraic‐differential boundary conditions. Existence, uniqueness and higher regularity of the solution is proved. It is shown that actually any regularity can be obtained provided that appropriate smoothness of the data