Mathematisches Forschungsinstitut Oberwolfach

Oberwolfach Tagungsbericht 26/1999 Partial Di erential Equations 13.06.1999 { 19.06.1999 This meeting was organized by L. C. Evans (Berkeley), S. M uller (MPI Leipzig) and E. Kuwert (Freiburg). The 22 delivered talks addressed a broad spectrum of questions for nonlinear partial di erential equations. Most of the considered problems arise in geometry or in physics, as for example submanifolds with prescribed curvature relations, harmonic maps, crystal shapes, phase boundaries, Hamilton-Jacobi equations or quantum particles. The used methods, which are more universal than the problems and can be useful even for di erent types of equations, include variational techniques, estimates for fully nonlinear equations, viscosity solutions, measure-theoretic tools, Strichartz estimates and others. For the success of the conference, which had 40 participants from about ten di erent countries, it was important that the program allowed su cient time for informal talks and discussions. Ernst Kuwert The following abstracts are in chronological order.