Research objectives and content
It is proposed to consider some of the open questions in areas of Lipschitz solutions of partial differential equations, and singular integrals. The latter subject is related to partial differential equations via partial differential equations with certain boundary conditions and pseudo-differential operators.
Some of the specific questions we would like to consider are: 1. What kind of additional regularity is guaranteed for solutions to certain partial differential equations?
2. How to extend results to other linear differential operators? 3. Results concerning singular integrals and rectifiability. Training content (objective, benefit and expected impact)
A major objective of proposed research is to extend the applicants fields of expertise, allowing him the opportunity to collaborate with one of the most active senior mathematicians working in his area.
Links with industry / industrial relevance (22)