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Existence and stability of shrinkers for the harmonic map heat flow in higher dimensions. [PDF]
Calc Var Partial Differ EquGlogić I, Kistner S, Schörkhuber B.
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Analysis of an Abstract Delayed Fractional Integro-Differential System via the α-Resolvent Operator
Ishfaq Khan +3 more
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Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk. [PDF]
Entropy (Basel)Yoshino S +4 more
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On fractional resolvent operator functions
Semigroup Forum, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Chuang, Li, Miao
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H-Monotone operator and resolvent operator technique for variational inclusions
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Yaping, Huang, Nanjing
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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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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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About a complex operator resolvent
Russian Universities Reports. Mathematics, 2022A normed algebra of bounded linear complex operators acting in a complex normed space consisting of elements of the Cartesian square of a real Banach space is constructed. In this algebra, it is singled out a set of operators for each of which the real and imaginary parts commute with each other.
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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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