Anomalies in Partial Differential Equations (eBook)

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.

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.