Search Results - "Davies, E.B"
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Explicit constants for Rellich inequalities in $L_p(\Omega)
Published in Mathematische Zeitschrift (01-03-1998)Get full text
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Pluralism in mathematics
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (15-10-2005)“…We defend pluralism in mathematics, and in particular Errett Bishop's constructive approach to mathematics, on pragmatic grounds, avoiding the philosophical…”
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Spectral properties of random non-self-adjoint matrices and operators
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (08-01-2001)“…I describe some numerical experiments which determine the degree of spectral instability of medium‐sized randomly generated matrices which are far from…”
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AN INVERSE SPECTRAL THEOREM
Published in Journal of operator theory (2013)“…We prove a substantial extension of an inverse spectral theorem of Ambarzumyan, and show that it can be applied to arbitrary compact Riemannian manifolds,…”
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Spectra of a class of non-self-adjoint matrices
Published in Linear algebra and its applications (01-05-2014)“…We consider a new class of non-self-adjoint matrices that arise from an indefinite self-adjoint linear pencil of matrices, and obtain the spectral asymptotics…”
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Decomposing the essential spectrum
Published in Journal of functional analysis (15-07-2009)“…We use C * -algebra theory to provide a new method of decomposing the essential spectra of self-adjoint and non-self-adjoint Schrödinger operators in one or…”
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Perturbations of Jordan matrices
Published in Journal of approximation theory (2009)“…We consider perturbations of a large Jordan matrix, either random and small in norm or of small rank. In the case of random perturbations we obtain explicit…”
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Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle
Published in Journal of approximation theory (01-08-2006)“…We prove that for any n × n matrix, A , and z with | z | ⩾ ∥ A ∥ , we have that ∥ ( z - A ) - 1 ∥ ⩽ cot ( π 4 n ) dist ( z , spec ( A ) ) - 1 . We apply this…”
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Semi-Classical States for Non-Self-Adjoint Schrödinger Operators
Published in Communications in mathematical physics (01-01-1999)Get full text
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C-ALGEBRAS ASSOCIATED WITH SOME SECOND ORDER DIFFERENTIAL OPERATORS
Published in Journal of operator theory (2013)“…We compare two C*-algebras that have been used to study the essential spectrum. This is done by considering a simple second order elliptic differential…”
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Spectral stability of the Neumann Laplacian
Published in Journal of Differential Equations (10-12-2002)“…We prove the equivalence of Hardy- and Sobolev-type inequalities, certain uniform bounds on the heat kernel and some spectral regularity properties of the…”
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Schrödinger operators with slowly decaying potentials
Published in Journal of computational and applied mathematics (01-11-2002)“…Several recent papers have obtained bounds on the distribution of eigenvalues of non-self-adjoint Schrödinger operators and resonances of self-adjoint…”
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Semi-classical analysis and pseudo-spectra
Published in Journal of Differential Equations (01-09-2005)“…We prove an approximate spectral theorem for non-self-adjoint operators and investigate its applications to second-order differential operators in the…”
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Uniformly Elliptic Operators with Measurable Coefficients
Published in Journal of functional analysis (15-08-1995)Get full text
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Limits onLpRegularity of Self-Adjoint Elliptic Operators
Published in Journal of Differential Equations (20-03-1997)Get full text
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Eigenvalues of an elliptic system
Published in Mathematische Zeitschrift (01-04-2003)Get full text
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SEMIGROUP GROWTH BOUNDS
Published in Journal of operator theory (01-03-2005)“…We use the Legendre transform to find a relationship between the norms of a one-parameter semigroup and those of its resolvent operators. The theorems are…”
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Spectral instability for some Schrödinger operators
Published in Numerische Mathematik (01-06-2000)Get full text
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