[图书][B] Analytical methods for Markov semigroups

L Lorenzi, M Bertoldi - 2006 - taylorfrancis.com
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 …

[图书][B] Analytical methods for Kolmogorov equations

L Lorenzi - 2016 - taylorfrancis.com
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 …

[图书][B] Semigroups of bounded operators and second-order elliptic and parabolic partial differential equations

L Lorenzi, A Rhandi - 2021 - books.google.com
Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial
Differential Equations aims to propose a unified approach to elliptic and parabolic equations …

Gradient estimates for diffusion semigroups with singular coefficients

E Priola, FY Wang - Journal of Functional Analysis, 2006 - Elsevier
Uniform gradient estimates are derived for diffusion semigroups, possibly with potential,
generated by second order elliptic operators having irregular and unbounded coefficients …

Boundedness of spectral multipliers for Schrödinger operators on open sets

T Iwabuchi, T Matsuyama, K Taniguchi - Revista Matematica …, 2018 - ems.press
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 …

Some results on controllability for linear and nonlinear heat equations in unbounded domains

M González-Burgos, L de Teresa - 2007 - projecteuclid.org
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 …

Nonautonomous Kolmogorov parabolic equations with unbounded coefficients

M Kunze, L Lorenzi, A Lunardi - Transactions of the american mathematical …, 2010 - ams.org
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 …

Hölder regularity up to the boundary for critical SQG on bounded domains

LF Stokols, AF Vasseur - Archive for Rational Mechanics and Analysis, 2020 - Springer
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

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

Existence and global Lipschitz estimates for unbounded classical solutions of a Hamilton-Jacobi equation

LP Chaintron - arXiv preprint arXiv:2309.11813, 2023 - arxiv.org
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 …