We prove lower bounds for the fundamental solutions of the non-divergence form operators $\sum _{i,j}a_{i,j}(x,t)X_{i}X_{j}-\partial _{t}$ and $\sum _{i,j}a_{i,j}(x)X ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

The study of differential operators within the framework of Lie groups offers a profound gateway into understanding symmetry, geometry and representation theory. At its core, this area investigates ...

If a is a densely defined sectorial form in a Hilbert space which is possibly not closable, then we associate in a natural way a holomorphic semigroup generator with a. This allows us to remove in ...