Hyperbolic Problems and Regularity Questions
Researchonhyperbolicproblemsandregularityquestionsdevelopedsorapidly overthe lastyearsthat a conferencebecamenecessarywhererecentprogresscould be discussed. The conference covered a great variety of topics originating from nonl- ear PDE, functional and applied analysis, physics, di?erential geometry, complex structures etc., that present a rich pro?le of studies in hyperbolic equations and related problems. One objective was to bring together leading specialists from Europe, Asia and the United States and to discuss new challenges in this quickly developing ?eld. Another goal of the conference was to exhibit the remarkable vitality and breadth of current activities in PDEs as well as the high scienti?c level of ongoing work in the area. This volume collects polished versions of the lectures given at the conference. Readers will ?nd inspiring contributions to the calculus of variations, di?er- tial geometry, the development of singularities, regularity theory, hydrodynamics, asymptotic behavior, among others, and will pro?t of new tools and ideas, new results, interesting points of view, and important problems waiting for their so- tion. The conference was co-organized by the Department of Mathematics of the University of Ferrara and the Italian Ministry of University and Research. It took placefromMarch31toApril3,2004.Wehopethatthisvolumere?ectsthevariety of topics discussed. We are grateful to the members of the local Organizing Committee, Marco Cappiello, University of Ferrara Alessia Ascanelli, University of Ferrara for their valuable help. We are happy to thank all the participants of this meeting for making it a success. Many thanks are due to Birkh¨ auser for constant enco- agement and assistance.
Originating from a recent conference focusing on hyperbolic problems and regularity questionsContains study of singularities at boundaries, regularity in time for fluid flows, analytical regularity for nonlinear hypoelliptic equations, among others