This survey gives an account of the state of the art of the theory of Ornstein–Uhlenbeck
operators and semigroups. The domains of definition and the spectra of such operators are …

This article develops a general approach to time periodic incompressible fluid flow problems
and semilinear evolution equations. It yields, on the one hand, a unified approach to various …

Этот обзор посвящен современному состоянию теории операторов и полугрупп
Орнштейна–Уленбека, в том числе сравнительно недавним достижениям и открытым …

We consider the Laplacian with Dirichlet or Neumann boundary conditions on bounded
Lipschitz domains Ω, both with the following two domains of definition: D_1 (Δ)={u ∈ W^ 1, p …

It is shown that a large class of semilinear evolution equations on the whole line with
periodic or almost periodic forces admit periodic or almost periodic mild solutions. The …

We consider the Cauchy‐Dirichlet problem in [0,∞)× D for a class of linear parabolic partial
differential equations. We assume that D⊂ ℝd is an unbounded, open, connected set with …

The goal of the work is to verify the fractional Leibniz rule for Dirichlet Laplacian in the
exterior domain of a compact set. The key point is the proof of gradient estimates for the …

In this paper, we consider non-autonomous Ornstein-Uhlenbeck operators in smooth
exterior domains Ω⊂\mathbbR^d subject to Dirichlet boundary conditions. Under suitable …

We study existence and multiplicity of radial solutions for some quasilinear elliptic problems
involving the operator L_N=Δ-x⋅∇ on R^N∖B_1, where Δ is the Laplacian, x⋅∇ is an …

In this paper, we consider elliptic and parabolic equations with unbounded coefficients in
smooth exterior domains Ω⊂\mathbbR^N, subject to Dirichlet or Neumann boundary …