Anomalies in Partial Differential Equations

The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "e;Anomalies in Partial Differential Equations"e; held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "e;Guido Castelnuovo"e;, Universita di Roma "e;La Sapienza"e;. 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.