Partial differential equations from theory to applications: Dedicated to Alberto Farina, on the occasion of his 50th birthday

Abstract

Partial differential equations are a classical and very active field of research. One of its salient features is to break the rigid distinction between the evolution of the theory and the applications to real world phenomena, since the two are intimately intertwined in the harmonious development of such a fascinating and multifaceted topic of investigation.

Keywords

• partial differential equations
• rigidity
• symmetry and classification results
• regularity theory
• nonlocal equations
• applications