Institutional Repository
Technical University of Crete
Technical University of Crete
EN
|
EL
| URI | http://purl.tuc.gr/dl/dias/D4F23064-C4F2-450C-8C62-CE5D236245A4 | - |
| Identifier | https://doi.org/10.1007/BF02841551 | - |
| Language | en | - |
| Extent | 8 | en |
| Title | Maximum and minimum solutions for nonlinear parabolic problems with discontinuities | en |
| Creator | Kandylakis Dimitrios | en |
| Creator | Κανδυλακης Δημητριος | el |
| Creator | Papageorgiou Nikolaos S. | en |
| Publisher | Indian Academy of Sciences | en |
| Description | Δημοσίευση σε επιστημονικό περιοδικό | el |
| Content Summary | In this paper we examine nonlinear parabolic problems with a discontinuous right hand side. Assuming the existence of an upper solution φ and a lower solution ψ such that ψ ≤ φ, we establish the existence of a maximum and a minimum solution in the order interval [ψ, φ]. Our approach does not consider the multivalued interpretation of the problem, but a weak one side “Lipschitz” condition on the discontinuous term. By employing a fixed point theorem for nondecreasing maps, we prove the existence of extremal solutions in [ψ, φ for the original single valued version of the problem. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-29 | - |
| Date of Publication | 1998 | - |
| Subject | Upper solution | en |
| Subject | lower solution | en |
| Subject | evolution triple | en |
| Subject | compact embedding | en |
| Subject | integration by parts | en |
| Subject | Sobolev space | en |
| Subject | regular cone | en |
| Bibliographic Citation | D.A. Kandilakis, N.S. Papageorgiou, "Maximun and minimum solutions for nonlinear parabolic problems with discontinuities," Proceedings of the Indian Academy of Sciences - Mathematical Sciences, vol. 108, no. 2, pp. 179-187, Jun. 1998. doi: 10.1007/BF02841551 | en |
Copyright © DIAS 2013
