Results 51 to 60 of about 2,572,519 (223)
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, Volume 5, Issue 2, February 2026.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Strict Solution for a Second Order Differential Equation in Holder Spaces
International Journal of Analysis and Applications, 2019 In this paper we give some results on abstract second order differential elliptic equations of mixed type. The study is performed in Holder continuous Banach spaces.
Youcef Naas, Fatima Zohra Mezeghrani
doaj +2 more sources
Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces
Electronic Journal of Differential Equations, 2002 We establish the existence and uniqueness of almost periodic solutions of a class of semilinear equations having analytic semigroups. Our basic tool in this paper is the use of fractional powers of operators.
Mohamed Bahaj, Omar Sidki
doaj
Convergence of operator-semigroups associated with generalised elliptic forms
, 2011 In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even if the form fails to be closable.
Mugnolo, Delio, Nittka, Robin
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Control of Open Quantum Systems via Dynamical Invariants
Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.Dynamical invariants are used to reverse‐engineer control fields for open quantum systems described by time‐dependent Lindblad master equations. By minimizing an analytic leakage functional, the protocol dynamically steers the state along an effectively decoherence‐free path without costly iterative propagation.
Loris M. Cangemi +4 more
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Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form φ(El)(−Δ)βut$\varphi (E_l)(-\Delta)^{\beta }u_t$, where β∈λ=(0,1]$\beta \in \lambda =(0,1]$. The coefficient φ$\varphi$ is a degenerate C1$C^{1}$‐function depending on the linear energy El$E_l$ of the system ...
Zayd Hajjej +3 more
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Electronic Journal of Differential Equations, 2013 The objective of this article is to prove the existence of piecewise continuous mild solutions to impulsive functional differential equation with iterated deviating arguments in a Banach space. The results are obtained by using the theory of analytic
Pradeep Kumar +2 more
doaj
Analytic families of semigroups
Semigroup Forum, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
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Analyticity of absorption semigroups
Semigroup Forum, 1995 If \(U\) is an analytic positive \(C_0\) semigroup on \(L^p(\Omega)\) generated by \(T\) and \(V\) is a measurable function on \(\Omega\), then by Voigt's perturbation theory we can construct \(U_V(t)\), the positive \(C_0\) semigroup generated (formally) by \(T-V\).
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