Results 81 to 90 of about 2,572,519 (223)

Resolvent estimates for elliptic systems in function spaces of higher regularity

Electronic Journal of Differential Equations, 2011
We consider parameter-elliptic boundary value problems and uniform a priori estimates in $L^p$-Sobolev spaces of Bessel potential and Besov type. The problems considered are systems of uniform order and mixed-order systems (Douglis-Nirenberg systems).
Robert Denk, Michael Dreher
doaj  

THE REVIEW OF ALMOST PERIODIC SOLUTIONS TO A STOCHASTIC DIERENTIAL EQUATION [PDF]

International Journal of Mathematical Modelling & Computations, 2016
This paper proves the existence and uniqueness of quadratic mean almost periodic mild so-lutions for a class of stochastic dierential equations in a real separable Hilbert space. Themain technique is based upon an appropriate composition theorem combined
Siavosh Ahmadi
doaj  

Existence and regularity of periodic solutions for a class of neutral evolution equation with delay

AIMS Mathematics
The purpose of this paper is to investigate the existence and $ C^{1} $-regularity of $ \omega $-periodic mild solutions for a class of neutral evolution equation with two-constant delays in Banach space $ X $ \begin{document}$ \frac{d}{dt}(z(t)-cz(t-
Shengbin Yang, Yongxiang Li
doaj   +1 more source

Criteria for analyticity of subordinate semigroups [PDF]

Semigroup Forum, 2008
Let $ $ be a Bernstein function. A.~Carasso and T.~Kato obtained necessary and sufficient conditions for $ $ to have a property that $ (A)$ generates a quasibounded holomorphic semigroup for every generator $A$ of a bounded $C_0$-semigroup in a Banach space, in terms of some convolution semigroup of measures associated with $ $.
openaire   +3 more sources

Differentiability, analyticity and optimal rates of decay for damped wave equations

Electronic Journal of Differential Equations, 2012
We give necessary and sufficient conditions on the damping term of a wave equation for the corresponding semigroup to be analytic. We characterize damped operators for which the corresponding semigroup is analytic, differentiable, or exponentially ...
Luci Harue Fatori, Maria Zegarra Garay, Jaime E. Munoz Rivera   +2 more
doaj  

Validity and error analysis of calculating matrix exponential function and vector product

Nonlinear Engineering
In this study, an efficient calculation method of matrix exponential function and vector product is proposed to reduce the calculation error. This method is based on the flexible exponential integral scheme; using B-series theory and two-color tree ...
Tu Lihui, Hong Huanjie
doaj   +1 more source

The Algebraic Decay Behavior of Weak Solutions to the Magnetohydrodynamic Equations in Unbounded Domains

Mathematics
This paper investigates the long-term asymptotic behavior of solutions to the initial-boundary value problem for the three-dimensional incompressible viscous magnetohydrodynamic (MHD) equations in general unbounded domains. Addressing the difficulty that
Xuelin Chen, Mingjie Zhang
doaj   +1 more source

Ergodic decompositions of Dirichlet forms under order isomorphisms. [PDF]

J Evol Equ, 2023
Schiavo LD, Wirth M.
europepmc   +1 more source

Fractional-power approach for the study of elliptic second-order boundary-value problems with variable-operator coefficients in an unbounded domain

Electronic Journal of Differential Equations, 2020
In this article, we give new results on the study of elliptic complete abstract second order differential equations with variable operator coefficients under Dirichlet boundary conditions, and set in $\mathbb{R}_+$.
Fatiha Boutaous
doaj  

Criteria for Analyticity of Multidimensionally Subordinated Semigroups

Journal of Mathematical Sciences
Let $ψ$ be a Bernstein function in one variable. A.~Carasso and T.~Kato obtained necessary and sufficient conditions for $ψ$ to have a property that $ψ(A)$ generates a quasibounded holomorphic semigroup for every generator $A$ of a bounded $C_0$-semigroup in a Banach space and deduced necessary conditions as well.
openaire   +3 more sources