𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of stable and unstable solutions for semilinear parabolic problems with a jumping nonlinearity

✍ Scribed by Norimichi Hirano; W.S. Kim

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
982 KB
Volume
26
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the Existence of Solutions for Nonlin
On the Existence of Solutions for Nonlinear Parabolic Problems with Nonmonotone Discontinuities
✍ Nikolaos S. Papageorgiou πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 242 KB

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

On the Existence of Extremal Periodic So
On the Existence of Extremal Periodic Solutions for Nonlinear Parabolic Problems with Discontinuities
✍ Evgenios P. Avgerinos; Nikolas S. Papageorgiou πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 751 KB

We consider a very general second order nonlinear parabolic boundary value problem. Assuming the existence of an upper solution . and a lower solution satisfying ., we show that the problem has extremal periodic solutions in the order interval K=[ , .]. Our proof is based on a general surjectivity

Life Span of Solutions for a Semilinear
Life Span of Solutions for a Semilinear Parabolic Problem with Small Diffusion
✍ Noriko Mizoguchi; Eiji Yanagida πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 134 KB

where p > 1, Ξ΅ > 0, is a bounded domain in R N , and Ο• is a continuous function on . It is shown that the blowup time T Ξ΅ of the solution of this problem satisfies T Ξ΅ β†’ 1 p-1 Ο• 1-p ∞ as Ξ΅ β†’ 0. Moreover, when the maximum of Ο• x is attained at one point, we determine the higher order term of T Ξ΅ whic