Sandro Salsa is a Emeritus Professor of Mathematical Analysis at Politecnico of Milan, where he has been one of the main founders of the educational program in Mathematical Engineering. His research interest ranges over diverse aspects of nonlinear, nonlocal, singular or degenerate elliptic and parabolic equations, with particular emphasis on boundary behavior, regularity and free boundary problems. He is an author of 14 books and several papers in the most prestigious scientific mathematical journals.

Gianmaria Verzini is a Professor of Mathematical Analysis at the Department of Mathematics of the Politecnico of Milan. He is author of 5 books and more than 50 papers, published on prominent international journals. His scientific interests concern the applications of Nonlinear Analysis to the existence, multiplicity, qualitative properties and regularity of solutions to nonlinear differential equations and systems.

Sinergia tra aspetti modellistici e teorici

Interazione tra aspetti fenomenologici e metodi matematici di risoluzione

Numerosi esercizi di varia difficoltà come test di preparazione e aiuto nell'apprendimento

1 Introduzione.- 2 Diffusione.- 3 Equazione di Laplace.- 4 Leggi di conservazione scalari ed equazioni del prim'ordine.- 5 Onde e vibrazioni.- 6 Elementi di analisi funzionale.- 7 Distribuzioni e spazi di Sobolev.- 8 Formulazione variazionale di problemi ellittici.- 9 Formulazione debole per problemi di evoluzione.