Editors:
- Updated contributions in the areas covered by the workshop
- The book contains papers of distinguished researchers
- Geometric properties of solutions to elliptic and parabolic pdes are an intriguing subject of research
Part of the book series: Springer INdAM Series (SINDAMS, volume 47)
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Table of contents (14 chapters)
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Front Matter
About this book
This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20–24, 2019. This book will be of great interest for the mathematical community and in particular for researchers studying parabolic and elliptic PDEs. It covers many different fields of current research as follows: convexity of solutions to PDEs, qualitative properties of solutions to parabolic equations, overdetermined problems, inverse problems, Brunn-Minkowski inequalities, Sobolev inequalities, and isoperimetric inequalities.
Editors and Affiliations
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Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, Napoli, Italy
Vincenzo Ferone
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Applied Mathematics and Informatics Course, Faculty of Advanced Science and Technology, Ryukoku University, Otsu, Japan
Tatsuki Kawakami
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DIMAI Dipartimento di Matematica e Informatica “U. Dini”, Università degli Studi di Firenze, Firenze, Italy
Paolo Salani
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Department of Mathematics, Osaka City University, Osaka, Japan
Futoshi Takahashi
About the editors
Tatsuki Kawakami has been a professor of the Faculty of Advanced Science and Technology at Ryukoku University since 2019. He is interested in research fields such as elliptic and parabolic PDEs, the existence of solutions and their asymptotic behavior, dynamic boundary problems, and related topics.
Paolo Salani is a full professor of Mathematical Analysis at Dipartimento di Matematica e Informatica "U. Dini" of Università degli Studi di Firenze. His main research interests concern the study of geometric properties (such as convexity, starshape, etc.) of solutions to elliptic and parabolic PDEs, overdetermined problems, geometric and analytic inequalities of isoperimetric flavor, convex geometry and analysis.
Futoshi Takahashi has been a professor in the Department of Mathematics at Osaka City University since 2009. He has been interested in research fields such as variational methods, functional inearities, and related nonlinear PDEs.
Bibliographic Information
Book Title: Geometric Properties for Parabolic and Elliptic PDE's
Editors: Vincenzo Ferone, Tatsuki Kawakami, Paolo Salani, Futoshi Takahashi
Series Title: Springer INdAM Series
DOI: https://doi.org/10.1007/978-3-030-73363-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-73362-9Published: 14 June 2021
Softcover ISBN: 978-3-030-73365-0Published: 15 June 2022
eBook ISBN: 978-3-030-73363-6Published: 12 June 2021
Series ISSN: 2281-518X
Series E-ISSN: 2281-5198
Edition Number: 1
Number of Pages: IX, 305
Number of Illustrations: 9 b/w illustrations, 18 illustrations in colour
Topics: Analysis, Optimization, Convex and Discrete Geometry, Applications of Mathematics, Functional Analysis