Editors:
- Contains thirteen papers devoted to recent results in mathematics, focusing on nonlinear partial differential equation and applications
- Provides contributions about qualitative properties of solutions of linear and nonlinear models, well-posedness results, results on asymptotic profiles of solutions, on blow-up behavior and on the influence of low regular coefficients
Part of the book series: Trends in Mathematics (TM)
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Table of contents (13 chapters)
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Front Matter
About this book
This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications. It presents an excellent source of information on the state-of-the-art, new methods, and trends in this topic and related areas. Most of the contributors presented their work during the sessions "Recent progress in evolution equations" and "Nonlinear PDEs" at the 12th ISAAC congress held in 2017 in Växjö, Sweden. Even if inspired by this event, this book is not merely a collection of proceedings, but a stand-alone project gathering original contributions from active researchers on the latest trends in nonlinear evolution PDEs.
Keywords
- nonlinear partial differential equations
- hyperbolic equations
- evolution equations
- existence problems
- qualitative properties of solutions
- asymptotic profile of solutions
- diffusion phenomenon
- fractional derivatives
- small data solutions
- blow-up behavior
- test function method
- partial differential equations
Editors and Affiliations
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Mathematics, University of Bari, Bari, Italy
Marcello D'Abbicco
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Department of Computing and Mathematics, University of São Paulo, Ribeirão Preto, Brazil
Marcelo Rempel Ebert
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Department of Mathematics, University of Pisa, Pisa, Italy
Vladimir Georgiev
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Department of Applied Physics, Waseda University, Tokyo, Japan
Tohru Ozawa
Bibliographic Information
Book Title: New Tools for Nonlinear PDEs and Application
Editors: Marcello D'Abbicco, Marcelo Rempel Ebert, Vladimir Georgiev, Tohru Ozawa
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-030-10937-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-10936-3Published: 08 May 2019
eBook ISBN: 978-3-030-10937-0Published: 07 May 2019
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: VIII, 390
Number of Illustrations: 1 b/w illustrations, 5 illustrations in colour
Topics: Partial Differential Equations