๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On computational proofs of the existence of solutions to nonlinear parabolic problems

โœ Scribed by Mitsuhiro T. Nakao; Yoshitaka Watanabe


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
714 KB
Volume
50
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the Existence of Solutions for Nonlin
โœ Nikolaos S. Papageorgiou ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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
โœ Evgenios P. Avgerinos; Nikolas S. Papageorgiou ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Multiple existence of periodic solutions
โœ Norimichi Hirano; Wan Se Kim ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 146 KB

In this paper, we establish a multiple existence result of periodic solutions for a nonlinear parabolic equations with singular nonlinearity at zero. To establish our result, We use an approximating process by smooth nonlinear functions to avoid a singularity in nonlinear term. And we adapt topologi