2 papers
math.AP2024
Kernel estimates for parabolic systems of partial differential equations with unbounded coefficients
Davide Addona, Luca Lorenzi, Marianna Porfido
We provide pointwise upper bounds for the transition kernels of semigroups associated with a class of systems of nondegenerate elliptic partial differential equations with unbounde…
math.DS2024
Kernel estimates for a class of fractional Kolmogorov operators
Marianna Porfido, Abdelaziz Rhandi, Cristian Tacelli
Assuming a weighted Nash type inequality for the generator of a Markov semigroup, we prove a weighted Nash type inequality for its fractional power and deduce non-uniform boun…