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| Title: | A metric approach to a class fo doubly nonlinear evolution euations and applications |
| Authors: | Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe |
| URI: | https://doi.org/10.34657/1828 https://oa.tib.eu/renate/handle/123456789/1854 |
| Issue Date: | 2007 |
| Published in: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1226, ISSN 0946-8633 |
| Journal: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik |
| Volume: | 1226 |
| Publisher: | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik |
| Abstract: | This paper deals with the analysis of a class of doubly nonlinear evolution equations in the framework of a general metric space. We propose for such equations a suitable metric formulation (which in fact extends the notion of Curve of Maximal Slope for gradient flows in metric spaces, see [5]), and prove the existence of solutions for the related Cauchy problem by means of an approximation scheme by time discretization. Then, we apply our results to obtain the existence of solutions to abstract doubly nonlinear equations in reflexive Banach spaces. The metric approach is also exploited to analyze a class of evolution equations in $L^1$ spaces. |
| Type: | report; Text |
| Publishing status: | publishedVersion |
| DDC: | 510 |
| License: | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
| Appears in Collections: | Mathematik |
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Rossi, Riccarda, Alexander Mielke and Giuseppe Savaré, 2007. A metric approach to a class fo doubly nonlinear evolution euations and
applications. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Rossi, R., Mielke, A. and Savaré, G. (2007) A metric approach to a class fo doubly nonlinear evolution euations and
applications. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
Rossi R, Mielke A, Savaré G. A metric approach to a class fo doubly nonlinear evolution euations and
applications. Vol. 1226. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 2007.
Rossi, R., Mielke, A., & Savaré, G. (2007). A metric approach to a class fo doubly nonlinear evolution euations and
applications (Version publishedVersion, Vol. 1226). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
Rossi R, Mielke A, Savaré G. A metric approach to a class fo doubly nonlinear evolution euations and
applications. Vol. 1226. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 2007.
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