A NOTE ON THE INITIAL-BOUNDARY VALUE PROBLEM FOR CONTINUITY EQUATIONS WITH ROUGH COEFFICIENTS

Affiliation auteursAffiliation ok
TitreA NOTE ON THE INITIAL-BOUNDARY VALUE PROBLEM FOR CONTINUITY EQUATIONS WITH ROUGH COEFFICIENTS
Type de publicationConference Paper
Year of Publication2014
AuteursCrippa G, Donadello C, Spinolo LV
EditorAncona F, Bressan A, Marcati P, Marson A
Conference NameHYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS
PublisherUniv Padova, Dipartimento Matematica; Univ Studi Aquila, Dipartimento Matematica Pura Applicata; Univ Padova; Univ Zurich; Univ Basel
Conference LocationPO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
ISBN Number978-1-60133-017-8
Mots-clésContinuity equation, existence, Initial-boundary value problem, Low regularity coefficients, Transport equation
Résumé

In this note we establish the existence of solutions of initial-boundary value problems for continuity equations with low regularity coefficients. We also announce a uniqueness result and some related counterexamples.