19 jan 2011
Dipartimento di Matematica - Sala Seminari - ore 17:00
ABSTRACT: We discuss in two talks a regularity issue for entropy solutions of a class of systems of scalar conservation laws in one space dimension.
This first talk will be devoted to introducing the setting and the main assumptions (e.g. strict hyperbolicity and characteristic families, the decomposition into wave measures). A few fundamental results on hyperbolic systems of conservation laws in one space dimension will be recalled, as the Laxs solution to the Riemann problem and Bressans existence and uniqueness of a Lipschitz semigroup of solutions for small BV initial data. Examples will be given in the case of a single conservation law.