For the first time in book form, Analytical Methods for Markov Semigroups provides a
comprehensive analysis on Markov semigroups both in spaces of bounded and continuous …

The second edition of this book has a new title that more accurately reflects the table of
contents. Over the past few years, many new results have been proven in the field of partial …

Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial
Differential Equations aims to propose a unified approach to elliptic and parabolic equations …

Uniform gradient estimates are derived for diffusion semigroups, possibly with potential,
generated by second order elliptic operators having irregular and unbounded coefficients …

Let HV be a self-adjoint extension of the Schrödinger operator− Δ+ V (x) with the Dirichlet
boundary condition on an arbitrary open set Ω of Rd, where d≥ 1 and the negative part of …

In this paper we present some results concerning the null controllability for a heat equation
in unbounded domains. We characterize the conditions that must satisfy the auxiliary …

We study a class of elliptic operators $ A $ with unbounded coefficients defined in $
I\times\mathbb {R}^ d $ for some unbounded interval $ I\subset\mathbb {R} $. We prove that …

We consider the dissipative SQG equation in bounded domains, first introduced by
Constantin and Ignatova in 2016. We show global Hölder regularity up to the boundary of …

Gradient estimates of Dirichlet heat kernels for unimodal Lévy processes - Kulczycki - 2018 -
Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip to Article …

The purpose of this article is to prove existence, uniqueness and uniform gradient estimates
for unbounded classical solutions of a Hamilton-Jacobi-Bellman equation. Such an equation …