On the Oseen-type resolvent problem associated with time-periodic flow past a rotating body [PDF]
Consider the time-periodic flow of an incompressible viscous fluid past a body performing a rigid motion with non-zero translational and rotational velocity. We introduce a framework of homogeneous Sobolev spaces that renders the resolvent problem of the
Eiter, Thomas
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Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces
In this article, we discuss equilibrium problems and their resolvents on complete geodesic spaces. In particular, we consider asymptotic behavior and continuity of resolvents with positive parameter in a complete geodesic space whose curvature is bounded
Kimura Yasunori, Shindo Keisuke
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Unique solvability of boundary value problem for functional differential equations with involution
In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign.
K.Zh. Nazarova, K.I. Usmanov
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Separability of the third-order differential operator given on the whole plane
In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients in R (-∞ , +∞). Here, these coefficients can be unlimited functions at infinity.
A.O. Suleimbekova
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Reduction of dimension as a consequence of norm-resolvent convergence and applications [PDF]
International audienceThis paper is devoted to dimensional reductions via the norm resolvent convergence. We derive explicit bounds on the resolvent difference as well as spectral asymptotics.
Krejcirik, David +11 more
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Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity and a Summable Potential [PDF]
For a mixed problem defined by a wave equation with a summable potential equal-order boundary conditions with a derivative and a zero initial position, the properties of the formal solution by the Fourier method are investigated depending on the ...
Kurdyumov, Vitalii Pavlovich +2 more
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ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
wiley +1 more source
Entanglement of a chiral scalar on the torus
We compute the entanglement entropy of an interval for a chiral scalar on a circle at an arbitrary temperature. We use the resolvent method, which involves expressing the entropy in terms of the resolvent of a certain operator, and we compute that ...
Nicolás Abate +4 more
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Study of Second-Order Differential Operators on Graphs with Small Edges
In this work, we investigate a Schrödinger operator defined on a model graph containing small loops, under the assumption that the standard nonresonance condition—typically ensuring the holomorphic dependence of the resolvent for elliptic operators on ...
Maral Konyrkulzhayeva, Gauhar Auzerkhan
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Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
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