Partial differential equations are a fundamental tool in science and engineering. In fact, many of the laws of physics can be formulated in terms of such equations. In addition, they are of great importance in other areas of mathematics such as differential geometry. Lund has a strong tradition of research in partial differential equations. Today the following areas are represented:
- Microlocal analysis and pseudodifferential operators.
- Pseudospectra of non-selfadjoint operators.
- Nonlinear waves and fluid mechanics.
- Spectral theory for magnetic Schrödinger operators and Ginzburg-Landau theory.
The research group's page in Lund University's Research Portal.
The PDE seminar (currently online together with Analysis and Geometry).