Objective The aim of the proposed project is to start a systematic investigation of the fine regularity and singularity properties of solutions to vectorial problems, of elliptic and parabolic type, with special emphasis on the ones admitting a variational structure. A distinguishing feature of vectorial problems is the possibility of having solutions with singularities; in turn the structure of such singularities encodes subtle information about the fundamental nature of the underlying problem. Analytic, geometric and topological phenomena concur in the formation and in the nature of the singularities observed, and the analysis of the singular sets requires a very high interaction of several different methods and techniques coming from different branches of Mathematics. Unraveling the singular sets structure is of paramount importance to clarify the basic nature of the mathematical phenomena considered; specifically, it can allow for their efficient numerical treatment, and for using them in the context of mathematical modeling, towards the applications in Science. Fields of science natural sciencesmathematicsapplied mathematicsmathematical model Keywords Partial Partial differential equations differential equations Programme(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Call for proposal ERC-2007-StG See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Coordinator UNIVERSITA DEGLI STUDI DI PARMA Address Via universita 12 43100 Parma Italy See on map Region Nord-Est Emilia-Romagna Parma Activity type Higher or Secondary Education Establishments Principal investigator Giuseppe Mingione (Prof.) Administrative Contact Lucia Alessandrini (Prof.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution € 500 000,00 Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all UNIVERSITA DEGLI STUDI DI PARMA Italy EU contribution € 500 000,00 Address Via universita 12 43100 Parma See on map Region Nord-Est Emilia-Romagna Parma Activity type Higher or Secondary Education Establishments Principal investigator Giuseppe Mingione (Prof.) Administrative Contact Lucia Alessandrini (Prof.) Links Contact the organisation Opens in new window Website Opens in new window
