Anomalies in Partial Differential Equations / edited by Massimo Cicognani, Daniele Del Santo, Alberto Parmeggiani, Michael Reissig.

Format:

Book

Contributor:

Cicognani, Massimo, editor.

Series:

Springer INdAM Series, 2281-5198 ; 43

Language:

English

Subjects (All):

Mathematical analysis.

Functional analysis.

Analysis.

Functional Analysis.

Local Subjects:

Analysis.

Functional Analysis.

Physical Description:

1 online resource (XIII, 467 p. 22 illus., 12 illus. in color.)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

Summary:

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.

Contents:

Ascanelli, A. and Cappiello, M., Semilinear p-evolution equations in weighted Sobolev spaces

Ascanelli, A. et al., Random-field Solutions of Linear Parabolic Stochastic Partial Dierential Equations with Polynomially Bounded Variable Coefficients

Brauer, U. and Karp, l., The non–isentropic Einstein–Euler system written in a symmetric hyperbolicfor

Chen, W. and Palmieri, A., Blow–up result for a semilinear wave equation with a non linear memory term

Ciani, S. and Vespri, V., An Introduction to Barenblatt Solutions for Anisotropic p-Laplace Equation

Colombini, F. et al., No loss of derivatives for hyperbolic operators with Zygmund-continuous coecients in time

Cordero, E., Note on the Wigner distribution and Localization Operators in the quasi-Banach setting

Corli, A. and Malaguti, E., Wavefronts in traffic flows and crowds dynamics

D’Abbicco, M., A new critical exponent for the heat and damped wave equations with non linear memory and not integrable data

Anh Dao, T. and Michael. R., Blow-up results for semi-linear structurally damped σ-evolution equation

Rempel Ebert, M. and Marques, J. Critical exponent for a class of semi linear damped wave equations with decaying in time propagation speed

Federico, S., Local solvability of some partial differential operators with non-smooth coefficients

G. Feichtinger, A. et al., On exceptional times for point wise convergence of integral kernels in Feynman-Trotter path integral

Girardi, G. and Wirth, J., Decay estimates for a Klein–Gordon model with time-periodic coefficients

Thieu Huy, N., Conditional Stability of Semigroups and Periodic Solutions to Evolution Equations

Oberguggenberger, M., Anomalous solutions to non linear hyperbolic equations

Rodino, L., and Trapasso, S.I., An introduction to the Gabor wave front set

Sickel, W., On the Regularity of Characteristic Functions

Yagdjian, K. et al., Small Data Wave Maps in Cyclic Spacetime.

ISBN:

3-030-61346-1