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Anomalies in Partial Differential Equations

by Massimo Cicognani, Daniele Del Santo, Alberto Parmeggiani, Michael Reissig

Springer

Hardcover 480 pages English March 07, 2021

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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.
Author:
Massimo Cicognani, Daniele Del Santo, Alberto Parmeggiani, Michael Reissig
Publisher:
Springer
Publication Date:
March 07, 2021
Number of pages:
480 pages
Language:
English
Binding:
Hardcover
ISBN-10:
3030613453
ISBN-13:
9783030613457