Overview
- The book gives an interesting overview on several ongoing researches in different fields of Partial Differential Equations theory
- The book contains a long and quite complete survey on the problem of set characteristic functions in the framework of Besov spaces
- The book allows researchers and students to grasp new aspects and boarden their own understanding of the topics considered
Part of the book series: Springer INdAM Series (SINDAMS, volume 43)
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Table of contents (19 papers)
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Front Matter
Keywords
About this book
The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "Anomalies in Partial Differential Equations" held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza". The volume contains results for well-posedness and local solvability for linear models with low regular coefficients. Moreover, nonlinear dispersive models (damped waves, p-evolution models) are discussed from the point of view of critical exponents, blow-up phenomena or decay estimates for Sobolev solutions. Some contributions are devoted to models from applications as traffic flows, Einstein-Euler systems or stochastic PDEs as well. Finally, several contributions from Harmonic and Time-Frequency Analysis, in which the authors are interested in the action of localizing operators or the description of wave front sets, complete the volume.
Editors and Affiliations
About the editors
Massimo Cicognani is Professor of Mathematical Analysis at the University of Bologna. His research field is regularity of solutions to PDEs of evolution type.
Daniele Del Santo is Professor of Mathematical Analysis at the University of Trieste. His research focuses on PDEs theory, in particular hyperbolic and parabolic equations with non regular coefficients.
Alberto Parmeggiani is Professor of Mathematics at University of Bologna. His research field is Analysis, more specifically the geometric theory of partial differential equations.
Michael Reissig is Professor of Partial Differential Equations at TU Bergakademie Freiberg. His research area is the theory of linear and nonlinear dispersive models.
Bibliographic Information
Book Title: Anomalies in Partial Differential Equations
Editors: Massimo Cicognani, Daniele Del Santo, Alberto Parmeggiani, Michael Reissig
Series Title: Springer INdAM Series
DOI: https://doi.org/10.1007/978-3-030-61346-4
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: 978-3-030-61345-7Published: 04 February 2021
Softcover ISBN: 978-3-030-61348-8Published: 04 February 2022
eBook ISBN: 978-3-030-61346-4Published: 03 February 2021
Series ISSN: 2281-518X
Series E-ISSN: 2281-5198
Edition Number: 1
Number of Pages: XIII, 467
Number of Illustrations: 10 b/w illustrations, 12 illustrations in colour
Topics: Analysis, Functional Analysis