Results 11 to 20 of about 378 (71)
On the decoupled Markov group conjecture
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021 Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
wiley +1 more source
Abstract elliptic operators appearing in atmospheric dispersion
Boundary Value Problems, 2014 In this paper, the boundary value problem for the differential-operator equation with principal variable coefficients is studied. Several conditions for the separability and regularity in abstract Lp-spaces are given.
V. Shakhmurov, Aida Sahmurova
semanticscholar +2 more sources
Generators with a closure relation [PDF]
, 2013 Assume that a block operator of the form $\left(\begin{smallmatrix}A_{1}\\A_{2}\quad 0\end{smallmatrix}\right)$, acting on the Banach space $X_{1}\times X_{2}$, generates a contraction $C_{0}$-semigroup. We show that the operator $A_{S}$ defined by $A_{S}
Schwenninger, Felix, Zwart, Hans
core +3 more sources
Stokes operators with variable coefficients and applications
Boundary Value Problems, 2014 The stationary and instationary Stokes problems with variable coefficients in abstract Lp spaces are considered. The problems contain abstract operators and nonlocal boundary conditions. The well-posedness of these problems is derived.
V. Shakhmurov
semanticscholar +2 more sources
Entropy calculation for a toy black hole [PDF]
, 2007 In this note we carry out the counting of states for a black hole in loop quantum gravity, however assuming an equidistant area spectrum. We find that this toy-model is exactly solvable, and we show that its behavior is very similar to that of the ...
Ashtekar A +14 more
core +3 more sources
Linear and nonlinear convolution elliptic equations
Boundary Value Problems, 2013 In this paper, the separability properties of elliptic convolution operator equations are investigated. It is obtained that the corresponding convolution-elliptic operator is positive and also is a generator of an analytic semigroup.
V. Shakhmurov, I. Ekincioğlu
semanticscholar +2 more sources
Kallman-Rota type inequality for discrete evolution families of bounded linear operators
, 2017 Let X be a complex Banach space and Z+ be the set of all nonnegative integers. Let K00(Z+,X ) be the space of all X -valued bounded sequences which decays to zero at 0 and at ∞ .
A. Zada, U. Riaz
semanticscholar +1 more source
Parameter-dependent Stokes problems in vector-valued spaces and applications
Boundary Value Problems, 2013 The stationary and instationary Stokes equations with operator coefficients in abstract function spaces are studied. The problems are considered in the whole space, and equations include small parameters.
V. Shakhmurov
semanticscholar +2 more sources
Nonlocal Navier-Stokes problem with a small parameter
Boundary Value Problems, 2013 Initial nonlocal boundary value problems for a Navier-Stokes equation with a small parameter is considered. The uniform maximal regularity properties of the corresponding stationary Stokes operator, well-posedness of a nonstationary Stokes problem and ...
V. Shakhmurov
semanticscholar +2 more sources
Estimates for Solutions of Differential Equations in a Banach Space via Commutators
Nonautonomous Dynamical Systems, 2018 In a Banach space we consider the equation dx(t)/dt = (A + B(t))×(t) (t ≥ 0), where A is a constant bounded operator, and B(t) is a bounded variable operator.Norm estimates for the solutions of the considered equation are derived in terms of the ...
Gil’ Michael
doaj +1 more source