Results 121 to 130 of about 1,344,696 (274)
Uniform resolvent convergence for strip with fast oscillating boundary
, 2013 In a planar infinite strip with a fast oscillating boundary we consider an elliptic operator assuming that both the period and the amplitude of the oscillations are small.
Amirat +51 more
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Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks
Abstract and Applied Analysis, 2013 We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and ...
Heng-you Lan
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Local resolvents of operators with one-dimensional self-commutator [PDF]
, 1976 Constantin Apostol, Kevin F. Clancey
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A comparison theorem for operators with compact resolvent [PDF]
Proceedings of the American Mathematical Society, 1971 The asymptotic behavior of the eigenvalue sequence of a semibounded operator with compact resolvent is stable under relatively bounded perturbations.
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The resolvent of a singularly perturbed elliptic operator
Journal of Mathematical Analysis and Applications, 1977 AbstractLet A and B be uniformly elliptic operators of orders 2m and 2n, respectively, m > n. We consider the Dirichlet problems for the equations (ϵ2(m − n)A + B + λ2nI)uϵ = f and (B + λ2nI)u = f in a bounded domain Ω in Rk with a smooth boundary ∂Ω. The estimate ∥ uϵ − u ∥L2(Ω) ⩽ Cϵ ¦ λ ¦−2n + 1(1 + ϵ ¦ λ ¦)−1 ∥ f ∥L2(Ω) is derived.
Zeev Schuss, Zeev Schuss
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On the generalized resolvents of isometric operators with gaps [PDF]
arXiv, 2012 In this paper we obtain some slight correction and generalization of the results of Ryabtseva on the generalized resolvents for isometric operators with a gap in their spectrum. Also, analogs of some McKelvey's results and a short proof of Inin's formula for the generalized resolvents of an isometric operator are obtained.
arxiv
On $L^p$ resolvent estimates for elliptic operators on compact manifolds [PDF]
arXiv, 2013 We prove uniform $L^p$ estimates for resolvents of higher order elliptic self-adjoint differential operators on compact manifolds without boundary, generalizing a corresponding resul of [3] in the case of Laplace-- Beltrami operators on Riemannian manifolds. In doing so, we follow the methods, developed in [1] very closely.
arxiv
Trace expansions for elliptic cone operators with stationary domains
, 2009 We analyze the behavior of the trace of the resolvent of an elliptic cone differential operator as the spectral parameter tends to infinity. The resolvent splits into two components, one associated with the minimal extension of the operator, and another,
Gil, Juan B. +2 more
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Resolvent expansions of 3D magnetic Schrödinger operators and Pauli operators [PDF]
Journal of Mathematical PhysicsWe obtain asymptotic resolvent expansions at the threshold of the essential spectrum for magnetic Schrödinger and Pauli operators in dimension three. These operators are treated as perturbations of the Laplace operator in L2(R3) and L2(R3;C2), respectively.
Arne Jensen, Hynek Kovařík
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Dichotomy and H^infinity functional calculi
Electronic Journal of Differential Equations, 1995 densely defined closed operator on a Banach space is studied. We give conditions under which an operator with an $H^infty$ functional calculus has dichotomy.
R. DeLaubenfels, Y. Latushkin
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