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

Robin Nittka

ISBN 10: 3838118987 / ISBN 13: 9783838118987

Published by Südwestdeutscher Verlag für Hochschulschriften, 2015

About this Item

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 | Robin Nittka | Taschenbuch | 132 S. | Englisch | 2015 | Südwestdeutscher Verlag für Hochschulschriften | EAN 9783838118987 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.

Seller Inventory # 107138632

Bibliographic Details

• Title: 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
• Publisher: Südwestdeutscher Verlag für Hochschulschriften
• Publication Date: 2015
• Language: English
• ISBN 10: 3838118987
• ISBN 13: 9783838118987
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 9D millimeters 220 millimeters width by 150 millimeters height by 9 millimeters depth
• Weight: 215 grams
• Seller catalogs:
  • Bücher

About this title

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.

About the Author

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.