Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...

In this paper we shall prove the following theorem: Let K be a differential field of characteristic zero. Let φ and ψ be elements of a differential field extension of K such that (i) φ ≠ 0 and ψ ≠ 0; ...