Rigidity and Flexibility in PDEs
The main focus of the research group will be on different types of rigidity properties in PDEs including:
- nonlocal PDEs with an emphasis on unique continuation problems, regularity theory and applications to inverse and control problems,
- elliptic and parabolic free boundary problems of obstacle type,
- non-convex problems in the calculus of variations and in elasticity, in particular motivated by problems arising in the modelling of shape-memory alloys.