Results 31 to 40 of about 907 (263)
RESOLVENT ESTIMATES OF THE DIRAC OPERATOR
Analysis, 1995 We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that the norm of R(s), as a bounded operator between two weighted Hilbert spaces of square integrable functions on the 3-dimensional Euclidean space, stays bounded.
Pladdy, Chris +2 more
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H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions
Abstract and Applied Analysis, 2011 The purpose of this paper is to introduce a new H(⋅,⋅)-cocoercive operator, which generalizes many existing monotone operators. The resolvent operator associated with H(⋅,⋅)-cocoercive operator is defined, and its Lipschitz continuity is presented.
Rais Ahmad +3 more
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On generalized Yosida inclusion problem with application
Results in Control and Optimization, 2023 Herein, a generalized Yosida inclusion problem involving Φ-relaxed co-accretive mapping is investigated. The resolvent and analogous generalized Yosida approximation operator is explicated and its characteristics are outlined.
Mohammad Akram
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Study Strong Convergence and Acceleration of New Iteration Type Three – Step
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 The aim of this article, we define new iterative methods called three-step type in which Jungck resolvent CR-iteration and resolvent Jungck SP-iteration are discussed and study rate convergence and strong convergence in Banach space to reach the fixed ...
Zena H. Maibed, Alaa M. Al-Hameedwi
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Uniqueness of DRS as the 2 operator resolvent-splitting and impossibility of 3 operator resolvent-splitting [PDF]
Mathematical Programming, 2019 Published in Mathematical Programming (updated version with corrected typo)
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Operators with hermitian resolvent
Advances in Mathematics, 1987 For the pseudofifferential operator \(T_{\sigma}: {\mathcal S}\to L^ p({\mathbb{R}}^ n)\) (\({\mathcal S}\) being the Schwartz space) and the complex- valued, measurable function q the space \({\mathcal D}\) is defined to be the set of all functions \(\phi\in {\mathcal S}\) such that \(q\phi\) is in L p(\({\mathbb{R}}^ n\)) and the operator \(T ...
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Nonlocal Problems for Fractional Differential Equations via Resolvent Operators
International Journal of Differential Equations, 2013 We discuss the continuity of analytic resolvent in the uniform operator topology and then obtain the compactness of Cauchy operator by means of the analytic resolvent method.
Zhenbin Fan, Gisèle Mophou
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On operators with rational resolvent [PDF]
Proceedings of the American Mathematical Society, 1972 It is shown that a bounded linear operator T on a complex Banach space into itself has a rational resolvent if and only if every bounded linear operator which commutes with every bounded linear operator that commutes with T can be expressed as a polynomial in T.
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Theoretical and Applied Mechanics LettersNonlinear energy transfer is represented through eddy viscosity and stochastic forcing within the framework of resolvent analysis. Previous investigations estimate the contribution of eddy-viscosity-enhanced resolvent operator to nonlinear energy ...
Youhua Wang, Ting Wu, Guowei He
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Approximation of point interactions by geometric perturbations in two-dimensional domains
Bulletin of Mathematical Sciences, 2023 In this paper, we present a new type of approximation of a second-order elliptic operator in a planar domain with a point interaction. It is of a geometric nature that the approximating family consists of operators with the same symbol and regular ...
D. I. Borisov, P. Exner
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