Results 321 to 330 of about 1,075,287 (378)
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Georgian Mathematical Journal, 2022
In this paper, we define a generalized resolvent operator involving a 𝒢 ( ⋅ , ⋅ ) {\mathcal{G}(\,\cdot\,,\cdot\,)} -co-monotone mapping for solving a generalized variational inclusion problem.
J. Iqbal +5 more
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In this paper, we define a generalized resolvent operator involving a 𝒢 ( ⋅ , ⋅ ) {\mathcal{G}(\,\cdot\,,\cdot\,)} -co-monotone mapping for solving a generalized variational inclusion problem.
J. Iqbal +5 more
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A Representation of the Resolvent Operator of Singular Hahn-Sturm-Liouville Problem
Numerical Functional Analysis and Optimization, 2020In this article, we construct the resolvent operator of regular Hahn-Sturm-Liouville problem. Later we derive some properties of the resolvent operator.
B. Allahverdiev, H. Tuna
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Generalized Resolvents of Symmetric Operators
Mathematical Notes, 2003The Krein formula for generalized resolvents is one of the highlights of the theory of extensions of symmetric operators in Hilbert spaces. In the present paper, the authors give another more general version of such a formula for generalized \(U\)-resolvents of the isometric operator \(V\). Each boundary triple \(\Pi\) of \(\{V,V^{-1}\}\) generates the
Malamud, M. M., Mogilevskii, V. I.
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On the Formulation of the Resolvent Operator for Compressible Flows
AIAA SCITECH 2024 ForumThis paper investigates the non-uniqueness of resolvent analysis in the context of compressible fluid flows. Specifically, we compare two mathematically equivalent formulations of the compressible Navier-Stokes equations (NSEs) in two sets of flow ...
Diganta Bhattacharjee, Maziar S. Hemati
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Proceedings of the London Mathematical Society, 1987
Let A be a resolvent positive (linear) operator (i.e., \((\lambda -A)^{- 1}\) exists and is positive for \(\lambda >\lambda_ 0)\) on a Banach lattice E. Even though no norm condition on the resolvent is demanded, a theory is developed which - to a large extent - is analogous to the theory of positive \(C_ 0\)-semigroups.
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Let A be a resolvent positive (linear) operator (i.e., \((\lambda -A)^{- 1}\) exists and is positive for \(\lambda >\lambda_ 0)\) on a Banach lattice E. Even though no norm condition on the resolvent is demanded, a theory is developed which - to a large extent - is analogous to the theory of positive \(C_ 0\)-semigroups.
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2017
This chapter describes the construction of a resolvent operator using the Laplace transform of a parametrix for the heat kernel and a perturbative argument. In the equation (μ-L) R(μ) f = f, R(μ) is a right inverse for (μ-L). In Hölder spaces, these are the natural elliptic estimates for generalized Kimura diffusions.
Charles L. Epstein, Rafe Mazzeo
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This chapter describes the construction of a resolvent operator using the Laplace transform of a parametrix for the heat kernel and a perturbative argument. In the equation (μ-L) R(μ) f = f, R(μ) is a right inverse for (μ-L). In Hölder spaces, these are the natural elliptic estimates for generalized Kimura diffusions.
Charles L. Epstein, Rafe Mazzeo
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Resolvent and Proximal Compositions
Set-Valued and Variational Analysis, 2022We introduce the resolvent composition, a monotonicity-preserving operation between a linear operator and a set-valued operator, as well as the proximal composition, a convexity-preserving operation between a linear operator and a function.
P. Combettes
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Resolvent splitting for sums of monotone operators with minimal lifting
Mathematical programming, 2021In this work, we study fixed point algorithms for finding a zero in the sum of n≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Yura Malitsky, Matthew K. Tam
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A Characterization of Periodic Resolvent Operators
Results in Mathematics, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Resolvents of Monotone Operators
2011Two quite useful single-valued, Lipschitz continuous operators can be associated with a monotone operator, namely its resolvent and its Yosida approximation. This chapter is devoted to the investigation of these operators. It exemplifies the tight interplay between firmly nonexpansive mappings and monotone operators.
Heinz H. Bauschke, Patrick L. Combettes
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