Elliptic and parabolic Robin problems on Lipschitz domains: Hölder continuity of solutions of elliptic problems and generation of nonlinear semigroups on the space of continuous functions - Couverture souple

Nittka, Robin

 
9783838118987: Elliptic and parabolic Robin problems on Lipschitz domains: Hölder continuity of solutions of elliptic problems and generation of nonlinear semigroups on the space of continuous functions
Couverture souple
ISBN 10 : 3838118987 ISBN 13 : 9783838118987
Editeur : Südwestdeutscher Verlag für Hochschulschriften, 2011

Synopsis

The author studies regularity of quasi-linear elliptic and parabolic equations with Robin boundary conditions on Lipschitz domains. He shows that solutions of elliptic problems with Neumann boundary conditions are Hölder continuous up to the boundary under very mild assumptions which resemble the optimal assumptions for interior Hölder regularity. Using the result for Neumann problems, the author obtains global Hölder regularity also for Robin problems. Finally, the elliptic results are used to show that the corresponding operator on the space of continuous functions is m-accretive and thus generates a strongly continuous nonlinear semigroup.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The author studies regularity of quasi-linear elliptic and parabolic equations with Robin boundary conditions on Lipschitz domains. He shows that solutions of elliptic problems with Neumann boundary conditions are Hölder continuous up to the boundary under very mild assumptions which resemble the optimal assumptions for interior Hölder regularity. Using the result for Neumann problems, the author obtains global Hölder regularity also for Robin problems. Finally, the elliptic results are used to show that the corresponding operator on the space of continuous functions is m-accretive and thus generates a strongly continuous nonlinear semigroup.

Biographie de l'auteur

studied mathematics at the University of Ulm. He had a scholarship at the graduate school "Mathematical Analysis of Evolution, Information and Complexity", with whose support he finished his PhD in 2010.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Südwestdeutscher Verlag für Hochschulschriften
Date d'édition
2011
Langue
anglais
ISBN 10 
3838118987
ISBN 13 
9783838118987
Reliure
Broché
Nombre de pages
132
Coordonnées du fabricant
non disponible
Personne responsable
info@bod.de
info@bod.de

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