Results 21 to 30 of about 2,840,866 (277)

Space–time analytic smoothing effect of the heat semigroup defined on homogeneous Besov spaces

open access: yesPartial Differential Equations in Applied Mathematics, 2021
We refine the decay estimate of the heat semigroup {T(t)}t≥0defined on homogeneous Besov spaces Ḃp,qs(Rn)for s∈R,p,q∈[1,∞], which is obtained by Kozono et al. (2003).
Taiki Takeuchi
doaj   +1 more source

Optimal semigroup regularity for velocity coupled elastic systems: a degenerate fractional damping case

open access: yesE S A I M: Control, Optimisation and Calculus of Variations, 2022
In this note, we consider an abstract system of two damped elastic systems. The damping involves the average velocity and a fractional power of the principal operator, with power $\theta$ in $[0,1]$.
ZHAOBIN KUANG, Zhuangyi Liu, L. Tébou
semanticscholar   +1 more source

Existence results for neutral evolution equations with nonlocal conditions and delay via fractional operator

open access: yesOpen Mathematics, 2022
In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in α\alpha -norm, which are more general than in many previous publications.
Zhang Xuping, Sun Pan
doaj   +1 more source

A Gevrey class semigroup for a thermoelastic plate model with a fractional Laplacian: Between the Euler-Bernoulli and Kirchhoff models

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2020
In a bounded domain, we consider a thermoelastic plate with rotational forces. The rotational forces involve the spectral fractional Laplacian, with power parameter \begin{document}$ 0\le\theta\le 1 $\end{document} .
V. Keyantuo, L. Tébou, M. Warma
semanticscholar   +1 more source

The Abel map for surface singularities II. Generic analytic structure [PDF]

open access: yesAdvances in Mathematics, 2018
We study the analytic and topological invariants associated with complex normal singularities. Our goal is to provide topological formulae for several discrete analytic invariants whenever the analytic structure is generic (with respect to a fixed ...
János Nagy, A. N'emethi
semanticscholar   +1 more source

Existence of solutions for quasilinear random impulsive neutral differential evolution equation

open access: yesArab Journal of Mathematical Sciences, 2018
This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
doaj   +1 more source

SOBRE LA ANALITICIDAD DEL SEMIGRUPO Co ASOCIADO A UN SISTEMA VISCOELÁSTICO

open access: yesPesquimat, 2014
We proved that the semigroup C0 associated to a viscoelastic system is analytic and exponentially stable.
Yolanda Silvia Santiago Ayala
doaj   +1 more source

Positive Solutions for the Initial Value Problem of Fractional Evolution Equations

open access: yesAbstract and Applied Analysis, 2013
By using the fixed point theorems and the theory of analytic semigroup, we investigate the existence of positive mild solutions to the Cauchy problem of Caputo fractional evolution equations in Banach spaces.
He Yang, Yue Liang
doaj   +1 more source

New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem

open access: yesBoundary Value Problems, 2021
We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP).
Md Mansur Alam   +2 more
doaj   +1 more source

An analytic method for S‐Expansion involving resonance and reduction [PDF]

open access: yes, 2016
In this paper we describe an analytic method able to give the multiplication table(s) of the set(s) involved in an S‐expansion process (with either resonance or 0S‐resonant‐reduction) for reaching a target Lie (super)algebra from a starting one, after ...
M. Ipinza   +3 more
semanticscholar   +1 more source

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