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Springer INdAM Series

Anomalies in Partial Differential Equations

Editors: Cicognani, M., Del Santo, D., Parmeggiani, A., Reissig, M. (Eds.)

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  • 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
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eBook 117,69 €
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  • ISBN 978-3-030-61346-4
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Hardcover 155,99 €
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  • ISBN 978-3-030-61345-7
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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.


About the authors

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.


Table of contents (19 chapters)

Table of contents (19 chapters)
  • Semilinear p-Evolution Equations in Weighted Sobolev Spaces

    Pages 1-34

    Ascanelli, Alessia (et al.)

  • Random-Field Solutions of Linear Parabolic Stochastic Partial Differential Equations with Polynomially Bounded Variable Coefficients

    Pages 35-62

    Ascanelli, Alessia (et al.)

  • The Non-isentropic Relativistic Euler System Written in a Symmetric Hyperbolic Form

    Pages 63-76

    Brauer, Uwe (et al.)

  • Blow-up Result for a Semilinear Wave Equation with a Nonlinear Memory Term

    Pages 77-97

    Chen, Wenhui (et al.)

  • An Introduction to Barenblatt Solutions for Anisotropic p-Laplace Equations

    Pages 99-125

    Ciani, Simone (et al.)

Buy this book

eBook 117,69 €
price for Spain (gross)
  • ISBN 978-3-030-61346-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-030-61345-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Anomalies in Partial Differential Equations
Editors
  • Massimo Cicognani
  • Daniele Del Santo
  • Alberto Parmeggiani
  • Michael Reissig
Series Title
Springer INdAM Series
Series Volume
43
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-61346-4
DOI
10.1007/978-3-030-61346-4
Hardcover ISBN
978-3-030-61345-7
Series ISSN
2281-518X
Edition Number
1
Number of Pages
XIII, 467
Number of Illustrations
10 b/w illustrations, 12 illustrations in colour
Topics