Results 21 to 30 of about 67,595 (279)

Dissipative operators and series inequalities [PDF]

Bulletin of the Australian Mathematical Society, 1981
Of concern is the best constant K in the inequality ‖Ax‖2 ≤ K‖A2x‖‖x‖ where A generates a strongly continuous contraction semigroup in a Hilbert space. Criteria are obtained for approximate extremal vectors x when K = 2 (K ≤ 2 always holds). By specializing A + I to be a shift operator on a sequence space, very simple proofs of Copson's recent results ...
Gindler, Herbert A., Goldstein, Jerome A.   +1 more
openaire   +1 more source

Description of Maximally Dissipative Quasi-Differential Operators for First Order

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In thiswork, the general form of maximally dissipative extensions of the minimaloperator generated by first order linear symmetric quasi-differentialexpression in the weighted Hilbert space of vector-functions at rightsemi-infinite interval has been ...
Pembe Ipek Al
doaj   +1 more source

Exponential stabilty for a Timoshenko system with nonlocal delay

Trends in Computational and Applied Mathematics, 2020
The purpose of this paper is to study  the Timoshenko system with nonlocal time-delayed condition. The well-posedness is proved  by Hille-Yosida theorem.
C. A. S. Nonato, C. A. Raposo, H. H. Nguyen   +2 more
doaj   +1 more source

Dissipation-induced enhancement of quantum fluctuations

New Journal of Physics, 2016
We study a quantum harmonic oscillator linearly coupled through the position operator $\hat{q}$ to a first bath and through the momentum operator $\hat{p}$ to a second bath yielding an Ohmic–Drude dissipation.
Gianluca Rastelli
doaj   +1 more source

Dimension estimates of the attractor for the dissipative quantum Zakharov equations

Journal of Inequalities and Applications, 2019
The finite dimension estimates of Hausdorff dimension and fractal dimension of the attractor of the dissipative quantum Zakharov equations are mainly studied by using the estimates of the Lyapunov exponents. The main results on the attractor are obtained
Donglong Li, Yanfeng Guo
doaj   +1 more source

Functions of perturbed dissipative operators [PDF]

St. Petersburg Mathematical Journal, 2012
We generalize our results of \cite{AP2} and \cite{AP3} to the case of maximal dissipative operators. We obtain sharp conditions on a function analytic in the upper half-plane to be operator Lipschitz.
Aleksandrov, A. B., Peller, V. V.
openaire   +3 more sources

The Limit Behavior Of The Trajectories of Dissipative Quadratic Stochastic Operators on Finite Dimensional Simplex

, 2011
The limit behavior of trajectories of dissipative quadratic stochastic operators on a finite-dimensional simplex is fully studied. It is shown that any dissipative quadratic stochastic operator has either unique or infinitely many fixed points.
Bernstein S. N., Marshall A., Shahidi F. A.   +2 more
core   +1 more source

Operator splitting for dissipative delay equations

, 2016
We investigate Lie-Trotter product formulae for abstract nonlinear evolution equations with delay. Using results from the theory of nonlinear contraction semigroups in Hilbert spaces, we explain the convergence of the splitting procedure.
Bátkai, András, Csomós, Petra, Farkas, Bálint   +2 more
core   +1 more source

Energy-Dissipative Evolutionary Deep Operator Neural Networks

Journal of Computational Physics, 2023
Energy-Dissipative Evolutionary Deep Operator Neural Network is an operator learning neural network. It is designed to seed numerical solutions for a class of partial differential equations instead of a single partial differential equation, such as partial differential equations with different parameters or different initial conditions.
Jiahao Zhang, Shiheng Zhang, Jie Shen, Guang Lin   +3 more
openaire   +2 more sources

Kubo formulas for relativistic fluids in strong magnetic fields

, 2011
Magnetohydrodynamics of strongly magnetized relativistic fluids is derived in the ideal and dissipative cases, taking into account the breaking of spatial symmetries by a quantizing magnetic field.
Huang, Xu-Guang, Rischke, Dirk H., Sedrakian, Armen   +2 more
core   +1 more source