Edit Profile (opens in new tab) Davies, Edward Brian Co-Author Distance Author ID: davies.edward-brian Published as: Davies, E. B.; Davies, E. Brian; Davies, Edward Brian; Davies, Edward B. more...less Homepage: https://www.sjc.ox.ac.uk/discover/people/edward-brian-davies/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 201 Publications since 1967, including 7 Books Biographic References: 1 Publication Co-Authors: 39 Co-Authors with 49 Joint Publications 1,240 Co-Co-Authors all top 5 Co-Authors 150 single-authored 9 Simon, Barry 4 Aslanyan, A. A. 3 Mandouvalos, Nikolaos 3 Pang, Michael M. H. 2 Hinz, Andreas M. 2 Lindsay, J. Martin 2 Rothaus, Oscar S. 1 Abdessemed, A. 1 Abramov, Aleksandr Aleksandrovich 1 Aizenman, Michael 1 Barbatis, Gerassimos 1 Batty, Charles J. K. 1 Brown, B. Malcolm 1 Burenkov, Viktor Ivanovich 1 Chandler-Wilde, Simon N. 1 Exner, Pavel 1 Gladwell, Graham M. L. 1 Gross, Leonard 1 Hager, Mildred 1 Harrell, Evans M. II 1 Incani, P. A. 1 Jimack, Peter K. 1 Kuijlaars, Arno B. J. 1 Levitin, Michael R. 1 Leydold, Josef 1 Lianantonakis, Maria 1 Lieb, Elliott Hershel 1 Lipovský, Jiří 1 Muthuramalingam, Pl. 1 Nath, Jiban 1 Parnovski, Leonid 1 Plum, Michael 1 Pushnitski, Alexander B. 1 Sanches Fernandes, K. 1 Shargorodsky, Eugene 1 Stadler, Peter F. 1 Taylor, Michael Eugene 1 van den Berg, Michiel 1 Vincent-Smith, G. F. 1 Weir, John all top 5 Serials 20 Communications in Mathematical Physics 16 Journal of Functional Analysis 15 Journal of the London Mathematical Society. Second Series 11 The Quarterly Journal of Mathematics. Oxford Second Series 9 Journal of Operator Theory 7 Bulletin of the London Mathematical Society 7 Mathematische Zeitschrift 7 Proceedings of the London Mathematical Society. Third Series 6 Journal of Differential Equations 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 5 LMS Journal of Computation and Mathematics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 American Journal of Mathematics 3 Mathematika 2 IEEE Transactions on Information Theory 2 Journal d’Analyse Mathématique 2 Reports on Mathematical Physics 2 Advances in Mathematics 2 The British Journal for the Philosophy of Science 2 Journal of Approximation Theory 2 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Annals of Physics 2 Journal of Physics A: Mathematical and General 2 Linear Algebra and its Applications 2 European Mathematical Society Newsletter 2 Philosophia Mathematica. Series III 2 Cambridge Studies in Advanced Mathematics 1 Archive for Rational Mechanics and Analysis 1 BJHS. The British Journal for the History of Science 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mathematics of Computation 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematica Scandinavica 1 Numerische Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Annals of Global Analysis and Geometry 1 SIAM Journal on Matrix Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Electronic Journal of Probability 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Evolution Equations 1 Journal of the London Mathematical Society 1 Cambridge Tracts in Mathematics 1 London Mathematical Society Monographs 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Journal of Spectral Theory all top 5 Fields 104 Operator theory (47-XX) 78 Partial differential equations (35-XX) 34 Quantum theory (81-XX) 27 Functional analysis (46-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Ordinary differential equations (34-XX) 19 Probability theory and stochastic processes (60-XX) 13 Numerical analysis (65-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 General and overarching topics; collections (00-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Mathematical logic and foundations (03-XX) 6 Differential geometry (53-XX) 4 History and biography (01-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 180 Publications have been cited 6,087 times in 4,460 Documents Cited by ▼ Year ▼ Heat kernels and spectral theory. Zbl 0699.35006Davies, E. B. 998 1989 Quantum theory of open systems. Zbl 0388.46044Davies, E. B. 565 1976 One-parameter semigroups. Zbl 0457.47030Davies, E. B. 333 1980 Spectral theory and differential operators. Zbl 0893.47004Davies, E. B. 303 1995 An operational approach to quantum probability. Zbl 0194.58304Davies, E. B.; Lewis, J. T. 204 1970 Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians. Zbl 0568.47034Davies, E. B.; Simon, B. 196 1984 Markovian master equations. Zbl 0294.60080Davies, E. B. 185 1974 Linear operators and their spectra. Zbl 1138.47001Davies, E. Brian 163 2007 Explicit constants for Rellich inequalities in \(L_p(\Omega)\). Zbl 0903.58049Davies, E. B.; Hinz, A. M. 118 1998 Explicit constants for Gaussian upper bounds on heat kernels. Zbl 0659.35009Davies, E. B. 93 1987 A review of Hardy inequalities. Zbl 0936.35121Davies, E. B. 92 1999 Uniformly elliptic operators with measurable coefficients. Zbl 0839.35034Davies, E. B. 91 1995 Heat kernel bounds on hyperbolic space and Kleinian groups. Zbl 0643.30035Davies, E. B.; Mandouvalos, N. 80 1988 Scattering theory for systems with different spatial asymptotics on the left and right. Zbl 0393.34015Davies, E. B.; Simon, B. 71 1978 The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026Davies, E. B.; Pang, M. M. H. 70 1987 Heat kernel bounds, conservation of probability and the Feller property. Zbl 0808.58041Davies, E. B. 70 1992 Bounds on complex eigenvalues and resonances. Zbl 1123.81415Abramov, A. A.; Aslanyan, A.; Davies, E. B. 61 2001 Quantum dynamical semigroups and the neutron diffusion equation. Zbl 0372.47020Davies, E. B. 58 1977 Markovian master equations. II. Zbl 0323.60061Davies, E. B. 57 1976 The functional calculus. Zbl 0858.47012Davies, E. B. 55 1995 The Hardy constant. Zbl 0857.26005Davies, E. B. 55 1995 \(L^p\)-spectral theory of higher-order elliptic differential operators. Zbl 0955.35019Davies, E. B. 53 1997 Non-Gaussian aspects of heat kernel behaviour. Zbl 0879.35064Davies, E. B. 51 1997 Non-self-adjoint differential operators. Zbl 1052.47042Davies, E. B. 50 2002 \(L^ 1\) properties of second order elliptic operators. Zbl 0583.35032Davies, E. B. 49 1985 Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016Davies, E. B. 47 1999 Quantum stochastic processes. Zbl 0184.54102Davies, E. B. 47 1969 Semi-classical states for non-self-adjoint Schrödinger operators. Zbl 0921.47060Davies, E. B. 45 1999 Lipschitz continuity of functions of operators in the Schatten classes. Zbl 0648.47011Davies, E. B. 43 1988 Spectral pollution. Zbl 1062.65056Davies, E. B.; Plum, M. 42 2004 Trapped modes in acoustic waveguides. Zbl 0908.76083Davies, E. B.; Parnovski, L. 40 1998 \(L^ p\) norms of non-critical Schrödinger semigroups. Zbl 0743.47047Davies, E. B.; Simon, B. 40 1991 Non-commutative symmetric Markov semigroups. Zbl 0761.46051Davies, E. Brian; Lindsay, J. Martin 40 1992 Information and quantum measurement. Zbl 0382.94009Davies, E. B. 40 1978 The equivalence of certain heat kernel and Green function bounds. Zbl 0652.35023Davies, E. B. 39 1987 Generators of dynamical semigroups. Zbl 0428.47021Davies, E. B. 38 1979 Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds. Zbl 0759.58045Davies, E. B. 37 1988 Quantum stochastic processes. II. Zbl 0199.28202Davies, E. B. 37 1970 Discrete nodal domain theorems. Zbl 0990.05093Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F. 35 2001 Large deviations for heat kernels on graphs. Zbl 0799.58086Davies, E. B. 35 1993 Spectral stability of the Neumann Laplacian. Zbl 1042.35035Burenkov, V. I.; Davies, E. B. 32 2002 Pointwise bounds on the space and time derivatives of heat kernels. Zbl 0702.35106Davies, E. B. 31 1989 \(L^p\) spectral independence and \(L^1\) analyticity. Zbl 0913.47032Davies, E. B. 30 1995 Schrödinger operators with slowly decaying potentials. Zbl 1019.34083Davies, E. B.; Nath, Jiban 30 2002 Sharp bounds on heat kernels of higher order uniformly elliptic operators. Zbl 0869.35048Barbatis, G.; Davies, E. B. 29 1996 Limits on \(L^ p\) regularity of self-adjoint elliptic operators. Zbl 0871.35020Davies, E. B. 29 1997 Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093Davies, E. B.; Kuijlaars, A. B. J. 28 2004 Wild spectral behaviour of anharmonic oscillators. Zbl 1043.47502Davies, E. B. 28 2000 Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation. Zbl 0616.34020Davies, E. B.; Harrell, Evans M. II 24 1987 On Enss’ approach to scattering theory. Zbl 0434.47014Davies, E. B. 24 1980 Heat flow out of regions in \({\mathbb{R}}^ m\). Zbl 0661.35040van den Berg, M.; Davies, E. B. 24 1989 L p spectral theory of Kleinian groups. Zbl 0644.58022Davies, E. B.; Simon, Barry; Taylor, Michael 23 1988 Spectral properties of compact manifolds and changes of metric. Zbl 0691.53031Davies, E. B. 23 1990 Pseudospectra of differential operators. Zbl 0998.34067Davies, E. Brian 22 2000 Some norm bounds and quadratic form inequalities for Schrödinger operators. II. Zbl 0567.47006Davies, E. B. 22 1984 The structure and ideal theory of the predual of a Banach lattice. Zbl 0159.41503Davies, E. B. 21 1968 Spectral instability for some Schrödinger operators. Zbl 0964.65076Aslanyan, A.; Davies, E. B. 19 2000 Sharp boundary estimates for elliptic operators. Zbl 0963.35146Davies, E. B. 19 2000 Analysis on graphs and noncommutative geometry. Zbl 0793.46043Davies, E. B. 19 1993 Some contraction semigroups in quantum probability. Zbl 0231.20023Davies, E. B. 19 1972 Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004Davies, E. B.; Pang, M. M. H. 19 1989 Embeddable Markov matrices. Zbl 1226.60102Davies, E. B. 19 2010 Spectral enclosures and complex resonances for general self-adjoint operators. Zbl 0931.47021Davies, E. B. 18 1998 Non-selfadjoint operators and pseudospectra. Zbl 1132.47002Davies, E. B. 18 2007 Kato class potentials for higher order elliptic operators. Zbl 0942.35063Davies, E. B.; Hinz, A. M. 17 1999 Non-unitary scattering and capture. I: Hilbert space theory. Zbl 0428.47006Davies, E. B. 17 1980 On the Borel structure of \(C^ *\)-algebras. Zbl 0153.44701Davies, E. B. 17 1968 Irreversible dynamics of infinite Fermion systems. Zbl 0361.47013Davies, E. B. 17 1977 Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle. Zbl 1127.47037Davies, E. B.; Simon, B. 17 2006 Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056Davies, E. Brian; Pushnitski, Alexander 17 2011 \(L^ 1\)-properties of intrinsic Schrödinger semigroups. Zbl 0613.47039Davies, E. B.; Simon, B. 16 1986 The twisting trick for double well Hamiltonians. Zbl 0524.47019Davies, E. B. 16 1982 Perturbations of Jordan matrices. Zbl 1164.15004Davies, E. B.; Hager, Mildred 16 2009 Heat kernel bounds for second order elliptic operators on Riemannian manifolds. Zbl 0648.58037Davies, E. B. 16 1987 Metastable states of symmetric Markov semigroups. II. Zbl 0527.47028Davies, E. B. 16 1982 Spectral properties of random non-self-adjoint matrices and operators. Zbl 1014.47002Davies, E. B. 15 2001 Spectral properties of Neumann Laplacian of horns. Zbl 0749.35024Davies, E. B.; Simon, B. 15 1992 Eigenvalue stability bounds via weighted Sobolev spaces. Zbl 0799.58082Davies, E. B. 15 1993 Non-Weyl asymptotics for quantum graphs with general coupling conditions. Zbl 1204.81078Davies, E. Brian; Exner, Pavel; Lipovský, Jiří 14 2010 Properties of the Green’s functions of some Schrödinger operators. Zbl 0271.47003Davies, E. B. 14 1974 Spectral theory of pseudo-ergodic operators. Zbl 1044.47031Davies, E. B. 13 2001 Building infinite machines. Zbl 1020.03004Davies, E. B. 13 2001 Hypercontractivity: A bibliographic review. Zbl 0790.46055Davies, E. Brian; Gross, Leonard; Simon, Barry 13 1992 Scattering from infinite sheets. Zbl 0362.47003Davies, E. B. 13 1977 Markovian master equations. III. Zbl 0323.60062Davies, E. B. 12 1975 Metastable states of symmetric Markov semigroups. I. Zbl 0498.47017Davies, E. B. 12 1982 Tensor products, infinite products, and projective limits of Choquet simplexes. Zbl 0176.42802Davies, E. B.; Vincent-Smith, G. F. 12 1968 Quantum stochastic processes. III. Zbl 0217.50701Davies, E. B. 12 1971 Symmetry breaking for a nonlinear Schrödinger equation. Zbl 0405.35027Davies, E. B. 11 1979 The state of the art for heat kernel bounds on negatively curved manifolds. Zbl 0802.58053Davies, E. B. 11 1993 The Choquet theory and representation of ordered Banach spaces. Zbl 0165.46801Davies, E. B. 11 1969 Heat kernel bounds on manifolds with cusps. Zbl 0629.53044Davies, E. B.; Mandouvalos, N. 10 1987 A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Zbl 0977.65101Brown, B. M.; Davies, E. B.; Jimack, P. K. 10 2000 Eigenvalues of an elliptic system. Zbl 1032.34078Davies, E. B. 10 2003 The classical limit for quantum dynamical semigroups. Zbl 0355.60069Davies, E. B. 10 1976 Triviality of the peripheral point spectrum. Zbl 1098.47036Davies, E. B. 10 2005 Approximate diagonalization. Zbl 1157.65024Davies, E. B. 10 2008 Trace properties of the Dirichlet Laplacian. Zbl 0573.35072Davies, E. B. 10 1985 Some commutator estimates in the Schatten classes. Zbl 0692.47009Abdessemed, A.; Davies, E. B. 10 1989 Markov semigroups on \(C^*\)-bundles. Zbl 0694.46049Davies, E. B.; Rothaus, O. S. 10 1989 Level sets of the resolvent norm of a linear operator revisited. Zbl 1328.47006Davies, E. Brian; Shargorodsky, Eugene 2 2016 Sectorial perturbations of self-adjoint matrices and operators. Zbl 1292.47002Davies, E. B. 1 2014 Spectra of a class of non-self-adjoint matrices. Zbl 1286.15011Davies, E. B.; Levitin, Michael 1 2014 An inverse spectral theorem. Zbl 1274.35410Davies, E. B. 7 2013 Singular Schrödinger operators in one dimension. Zbl 1282.34087Davies, E. B. 2 2013 Spectrum of a Feinberg-Zee random hopping matrix. Zbl 1262.15007Chandler-Wilde, Simon N.; Davies, E. Brian 10 2012 Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056Davies, E. Brian; Pushnitski, Alexander 17 2011 Algebraic aspects of spectral theory. Zbl 1210.47063Davies, E. B. 2 2011 Embeddable Markov matrices. Zbl 1226.60102Davies, E. B. 19 2010 Non-Weyl asymptotics for quantum graphs with general coupling conditions. Zbl 1204.81078Davies, E. Brian; Exner, Pavel; Lipovský, Jiří 14 2010 Convergence of eigenvalues for a highly non-self-adjoint differential operator. Zbl 1196.34112Davies, E. B.; Weir, John 3 2010 Spectral properties of matrices associated with some directed graphs. Zbl 1189.15011Davies, E. B.; Incani, P. A. 2 2010 Perturbations of Jordan matrices. Zbl 1164.15004Davies, E. B.; Hager, Mildred 16 2009 Decomposing the essential spectrum. Zbl 1176.47001Davies, E. B. 6 2009 Approximate diagonalization. Zbl 1157.65024Davies, E. B. 10 2008 Linear operators and their spectra. Zbl 1138.47001Davies, E. Brian 163 2007 Non-selfadjoint operators and pseudospectra. Zbl 1132.47002Davies, E. B. 18 2007 An indefinite convection-diffusion operator. Zbl 1221.35260Davies, E. B. 8 2007 Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle. Zbl 1127.47037Davies, E. B.; Simon, B. 17 2006 Triviality of the peripheral point spectrum. Zbl 1098.47036Davies, E. B. 10 2005 Semigroup growth bounds. Zbl 1114.47040Davies, E. B. 6 2005 A defence of mathematical pluralism. Zbl 1093.03502Davies, E. B. 4 2005 Spectral bounds using higher-order numerical ranges. Zbl 1119.47004Davies, E. B. 3 2005 Open access lecture notes. Zbl 1137.00309Davies, E. Brian 3 2005 Semi-classical analysis and pseudo-spectra. Zbl 1088.81042Davies, E. B. 2 2005 Spectral pollution. Zbl 1062.65056Davies, E. B.; Plum, M. 42 2004 Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093Davies, E. B.; Kuijlaars, A. B. J. 28 2004 Computing the decay of a simple reversible sub-Markov semigroup. Zbl 1055.65112Davies, E. B. 1 2004 Eigenvalues of an elliptic system. Zbl 1032.34078Davies, E. B. 10 2003 Empiricism in arithmetic and analysis. Zbl 1047.00003Davies, E. B. 1 2003 Quantum mechanics does not require the continuity of space. Zbl 1222.81052Davies, E. B. 1 2003 Non-self-adjoint differential operators. Zbl 1052.47042Davies, E. B. 50 2002 Spectral stability of the Neumann Laplacian. Zbl 1042.35035Burenkov, V. I.; Davies, E. B. 32 2002 Schrödinger operators with slowly decaying potentials. Zbl 1019.34083Davies, E. B.; Nath, Jiban 30 2002 Bounds on complex eigenvalues and resonances. Zbl 1123.81415Abramov, A. A.; Aslanyan, A.; Davies, E. B. 61 2001 Discrete nodal domain theorems. Zbl 0990.05093Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F. 35 2001 Spectral properties of random non-self-adjoint matrices and operators. Zbl 1014.47002Davies, E. B. 15 2001 Spectral theory of pseudo-ergodic operators. Zbl 1044.47031Davies, E. B. 13 2001 Building infinite machines. Zbl 1020.03004Davies, E. B. 13 2001 Wild spectral behaviour of anharmonic oscillators. Zbl 1043.47502Davies, E. B. 28 2000 Pseudospectra of differential operators. Zbl 0998.34067Davies, E. Brian 22 2000 Spectral instability for some Schrödinger operators. Zbl 0964.65076Aslanyan, A.; Davies, E. B. 19 2000 Sharp boundary estimates for elliptic operators. Zbl 0963.35146Davies, E. B. 19 2000 A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Zbl 0977.65101Brown, B. M.; Davies, E. B.; Jimack, P. K. 10 2000 A hierarchical method for obtaining eigenvalue enclosures. Zbl 0958.34067Davies, E. B. 4 2000 On eigenfunction approximations for typical non-selfadjoint Schrödinger operators. Zbl 1024.34077Aslanyan, A.; Davies, E. B. 2 2000 A review of Hardy inequalities. Zbl 0936.35121Davies, E. B. 92 1999 Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016Davies, E. B. 47 1999 Semi-classical states for non-self-adjoint Schrödinger operators. Zbl 0921.47060Davies, E. B. 45 1999 Kato class potentials for higher order elliptic operators. Zbl 0942.35063Davies, E. B.; Hinz, A. M. 17 1999 Pointwise lower bounds on the heat kernels of higher order elliptic operators. Zbl 0926.35032Davies, E. B. 2 1999 ICMS lecture notes on computational spectral theory. Zbl 0952.47004Davies, E. B. 1 1999 Explicit constants for Rellich inequalities in \(L_p(\Omega)\). Zbl 0903.58049Davies, E. B.; Hinz, A. M. 118 1998 Trapped modes in acoustic waveguides. Zbl 0908.76083Davies, E. B.; Parnovski, L. 40 1998 Spectral enclosures and complex resonances for general self-adjoint operators. Zbl 0931.47021Davies, E. B. 18 1998 \(L^p\)-spectral theory of higher-order elliptic differential operators. Zbl 0955.35019Davies, E. B. 53 1997 Non-Gaussian aspects of heat kernel behaviour. Zbl 0879.35064Davies, E. B. 51 1997 Limits on \(L^ p\) regularity of self-adjoint elliptic operators. Zbl 0871.35020Davies, E. B. 29 1997 Sharp bounds on heat kernels of higher order uniformly elliptic operators. Zbl 0869.35048Barbatis, G.; Davies, E. B. 29 1996 \(L^ p\) spectral independence for certain uniformly elliptic operators. Zbl 0864.35077Davies, E. B. 6 1996 Spectral theory and differential operators. Zbl 0893.47004Davies, E. B. 303 1995 Uniformly elliptic operators with measurable coefficients. Zbl 0839.35034Davies, E. B. 91 1995 The functional calculus. Zbl 0858.47012Davies, E. B. 55 1995 The Hardy constant. Zbl 0857.26005Davies, E. B. 55 1995 \(L^p\) spectral independence and \(L^1\) analyticity. Zbl 0913.47032Davies, E. B. 30 1995 Long time asymptotics of fourth order parabolic equations. Zbl 0851.35018Davies, E. B. 8 1995 Nonlinear Schrödinger operators and molecular structure. Zbl 0861.47049Davies, E. B. 2 1995 Heat kernel bounds for higher order elliptic operators. Zbl 0994.58011Davies, E. B. 2 1995 Two-dimensional Riemannian manifolds with fractal boundaries. Zbl 0824.58043Davies, E. B. 3 1994 Large deviations for heat kernels on graphs. Zbl 0799.58086Davies, E. B. 35 1993 Analysis on graphs and noncommutative geometry. Zbl 0793.46043Davies, E. B. 19 1993 Eigenvalue stability bounds via weighted Sobolev spaces. Zbl 0799.58082Davies, E. B. 15 1993 The state of the art for heat kernel bounds on negatively curved manifolds. Zbl 0802.58053Davies, E. B. 11 1993 Superderivations and symmetric Markov semigroups. Zbl 0799.46081Davies, E. Brian; Lindsay, J. Martin 9 1993 Heat kernels in one dimension. Zbl 0830.34019Davies, E. B. 7 1993 Heat kernel and Hardy estimates for locally Euclidean manifolds with fractal boundaries. Zbl 0797.58087Davies, E. B.; Lianantonakis, M. 4 1993 Heat kernel bounds, conservation of probability and the Feller property. Zbl 0808.58041Davies, E. B. 70 1992 Non-commutative symmetric Markov semigroups. Zbl 0761.46051Davies, E. Brian; Lindsay, J. Martin 40 1992 Spectral properties of Neumann Laplacian of horns. Zbl 0749.35024Davies, E. B.; Simon, B. 15 1992 Hypercontractivity: A bibliographic review. Zbl 0790.46055Davies, E. Brian; Gross, Leonard; Simon, Barry 13 1992 \(L^ p\) norms of non-critical Schrödinger semigroups. Zbl 0743.47047Davies, E. B.; Simon, B. 40 1991 Spectral properties of compact manifolds and changes of metric. Zbl 0691.53031Davies, E. B. 23 1990 The hyperbolic geometry and spectrum of irregular domains. Zbl 0709.58038Davies, E. B.; Mandouvalos, N. 2 1990 The eigenvalue gap for second-order elliptic operators with Dirichlet boundary conditions. Zbl 0716.35057Davies, E. B.; Pang, M. M. H. 1 1990 Heat kernels and spectral theory. Zbl 0699.35006Davies, E. B. 998 1989 Pointwise bounds on the space and time derivatives of heat kernels. Zbl 0702.35106Davies, E. B. 31 1989 Heat flow out of regions in \({\mathbb{R}}^ m\). Zbl 0661.35040van den Berg, M.; Davies, E. B. 24 1989 Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004Davies, E. B.; Pang, M. M. H. 19 1989 Some commutator estimates in the Schatten classes. Zbl 0692.47009Abdessemed, A.; Davies, E. B. 10 1989 Markov semigroups on \(C^*\)-bundles. Zbl 0694.46049Davies, E. B.; Rothaus, O. S. 10 1989 A BLW inequality for vector bundles and applications to spectral bounds. Zbl 0696.58046Davies, E. B.; Rothaus, O. S. 4 1989 Heat kernel bounds on hyperbolic space and Kleinian groups. Zbl 0643.30035Davies, E. B.; Mandouvalos, N. 80 1988 Lipschitz continuity of functions of operators in the Schatten classes. Zbl 0648.47011Davies, E. B. 43 1988 Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds. Zbl 0759.58045Davies, E. B. 37 1988 L p spectral theory of Kleinian groups. Zbl 0644.58022Davies, E. B.; Simon, Barry; Taylor, Michael 23 1988 Kernel estimates for functions of second order elliptic operators. Zbl 0652.35024Davies, E. B. 6 1988 Explicit constants for Gaussian upper bounds on heat kernels. Zbl 0659.35009Davies, E. B. 93 1987 The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026Davies, E. B.; Pang, M. M. H. 70 1987 The equivalence of certain heat kernel and Green function bounds. Zbl 0652.35023Davies, E. B. 39 1987 Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation. Zbl 0616.34020Davies, E. B.; Harrell, Evans M. II 24 1987 ...and 80 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,063 Authors 85 Davies, Edward Brian 31 Gudder, Stanley P. 31 Simon, Barry 30 Saloff-Coste, Laurent 28 Song, Renming 27 Grigor’yan, Alexander Asaturovich 27 van den Berg, Michiel 26 Yan, Lixin 25 Grillo, Gabriele 25 Ouhabaz, El Maati 25 Robinson, Derek W. 24 Krejčiřík, David 22 Wang, Feng-Yu 21 Duong, Xuan Thinh 21 Gesztesy, Fritz 20 Barbatis, Gerassimos 20 Lahti, Pekka Johannes 20 Pillet, Claude-Alain 19 Chen, Zhen-Qing 19 Laptev, Ari 19 Sukochev, Fedor Anatol’evich 19 Yang, Dachun 18 Avkhadiev, Farit Gabidinovich 18 Frank, Rupert L. 18 Jakšić, Vojkan 17 Bañuelos, Rodrigo 17 Kholevo, Aleksandr Semënovich 17 Siegl, Petr 17 Sikora, Adam S. 17 Vazquez, Juan Luis 17 Wang, Jian 16 Batty, Charles J. K. 16 Boulton, Lyonell 16 Kim, Panki 16 Metafune, Giorgio 16 ter Elst, Antonius Frederik Maria 16 Zhang, Qi-Shuhuason 15 Jeribi, Aref 15 Warma, Mahamadi 14 Albeverio, Sergio A. 14 Arendt, Wolfgang 14 Frigerio, Alberto 14 Ozawa, Masanao 14 Sjöstrand, Johannes 13 Benatti, Fabio 13 Burenkov, Viktor Ivanovich 13 Fagnola, Franco 13 Fröhlich, Jürg Martin 13 Helffer, Bernard 13 Ishige, Kazuhiro 13 Lamberti, Pier Domenico 13 Mugnolo, Delio 13 Pellonpää, Juha-Pekka 13 Ruzhansky, Michael V. 13 Tertikas, Achilles 13 Yao, Xiaohua 12 Barchielli, Alberto 12 Coulhon, Thierry 12 De Roeck, Wojciech 12 Harrell, Evans M. II 12 Ishkin, Khabir Kabirovich 12 Kumagai, Takashi 12 Pang, Michael M. H. 12 Punzo, Fabio 12 Yang, Qiaohua 12 Ylinen, Kari 11 Ammar, Aymen 11 Bagarello, Fabio 11 Beneduci, Roberto 11 Bonforte, Matteo 11 Demuth, Michael 11 Evans, David E. 11 Kovařík, Hynek 11 Lenz, Daniel H. 11 Lu, Guozhen 11 Murata, Minoru 11 Voigt, Jurgen 10 Accardi, Luigi 10 Alicki, Robert 10 Barlow, Martin T. 10 Bugajski, Sławomir 10 Chruściński, Dariusz 10 deLaubenfels, Ralph J. 10 Exner, Pavel 10 Goldstein, Jerome Arthur 10 Heinosaari, Teiko 10 Hempel, Rainer 10 Khrennikov, Andreĭ Yur’evich 10 Lindner, Marko 10 Lorenzi, Luca 10 Marletta, Marco 10 Pautrat, Yan 10 Pellegrini, Clément 10 Pinchover, Yehuda 10 Sinha, Kalyan B. 10 Suragan, Durvudkhan 10 Zegarlinski, Boguslaw 9 Chen, Peng 9 Chen, Xin 9 Cipriani, Fabio ...and 3,963 more Authors all top 5 Cited in 463 Serials 363 Journal of Functional Analysis 224 Journal of Mathematical Physics 194 Communications in Mathematical Physics 158 Journal of Mathematical Analysis and Applications 118 Journal of Differential Equations 83 Transactions of the American Mathematical Society 83 Potential Analysis 75 Mathematische Zeitschrift 72 Proceedings of the American Mathematical Society 71 International Journal of Theoretical Physics 55 Annales Henri Poincaré 54 Reports on Mathematical Physics 53 Mathematische Annalen 52 Linear Algebra and its Applications 48 Advances in Mathematics 46 Integral Equations and Operator Theory 45 The Journal of Geometric Analysis 44 Journal of Statistical Physics 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 41 Reviews in Mathematical Physics 39 The Annals of Probability 39 Semigroup Forum 39 Journal of Physics A: Mathematical and Theoretical 38 Journal de Mathématiques Pures et Appliquées. Neuvième Série 38 Journal of Evolution Equations 36 Physics Letters. A 36 Probability Theory and Related Fields 36 Stochastic Processes and their Applications 31 Letters in Mathematical Physics 31 Annals of Physics 31 Journal of Spectral Theory 29 Communications in Partial Differential Equations 28 Calculus of Variations and Partial Differential Equations 26 Journal of Mathematical Sciences (New York) 26 Foundations of Physics 25 Annales de l’Institut Fourier 24 Open Systems & Information Dynamics 24 Infinite Dimensional Analysis, Quantum Probability and Related Topics 24 Quantum Information Processing 23 Publications of the Research Institute for Mathematical Sciences, Kyoto University 23 Revista Matemática Iberoamericana 22 Duke Mathematical Journal 21 Annali di Matematica Pura ed Applicata. Serie Quarta 21 Mathematische Nachrichten 21 Acta Applicandae Mathematicae 21 Annales de l’Institut Henri Poincaré. Physique Théorique 20 Mathematical Notes 20 New Journal of Physics 19 Journal of Approximation Theory 18 Journal d’Analyse Mathématique 18 Theoretical and Mathematical Physics 18 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 17 Israel Journal of Mathematics 17 Journal of Computational and Applied Mathematics 17 The Annals of Applied Probability 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 17 The Journal of Fourier Analysis and Applications 17 Positivity 17 International Journal of Quantum Information 16 Archive for Rational Mechanics and Analysis 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Lobachevskii Journal of Mathematics 15 Physica A 15 Inventiones Mathematicae 14 Journal of Geometry and Physics 14 Journal of Soviet Mathematics 14 Bulletin des Sciences Mathématiques 13 Archiv der Mathematik 13 Manuscripta Mathematica 13 Journal of Theoretical Probability 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Discrete and Continuous Dynamical Systems 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Mathematics of Computation 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 12 Journal of the Mathematical Society of Japan 12 Memoirs of the American Mathematical Society 12 Tôhoku Mathematical Journal. Second Series 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Communications on Pure and Applied Analysis 12 Science China. Mathematics 11 Numerische Mathematik 11 SIAM Journal on Mathematical Analysis 11 Communications in Contemporary Mathematics 11 Complex Analysis and Operator Theory 11 Journal of Pseudo-Differential Operators and Applications 10 Communications on Pure and Applied Mathematics 10 Journal of the London Mathematical Society. Second Series 10 Physica D 10 St. Petersburg Mathematical Journal 10 Mathematical Physics, Analysis and Geometry 9 Journal für die Reine und Angewandte Mathematik 9 Stochastic Analysis and Applications 9 Electronic Journal of Probability 9 Journal of Inequalities and Applications 9 Journal of the European Mathematical Society (JEMS) 9 Acta Mathematica Sinica. English Series 9 Journal of the Australian Mathematical Society 9 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 8 International Journal of Modern Physics B ...and 363 more Serials all top 5 Cited in 61 Fields 1,605 Partial differential equations (35-XX) 1,437 Operator theory (47-XX) 1,205 Quantum theory (81-XX) 854 Probability theory and stochastic processes (60-XX) 704 Functional analysis (46-XX) 480 Global analysis, analysis on manifolds (58-XX) 373 Statistical mechanics, structure of matter (82-XX) 238 Ordinary differential equations (34-XX) 211 Real functions (26-XX) 208 Harmonic analysis on Euclidean spaces (42-XX) 189 Differential geometry (53-XX) 174 Potential theory (31-XX) 143 Numerical analysis (65-XX) 115 Linear and multilinear algebra; matrix theory (15-XX) 101 Abstract harmonic analysis (43-XX) 98 Topological groups, Lie groups (22-XX) 95 Information and communication theory, circuits (94-XX) 91 Dynamical systems and ergodic theory (37-XX) 85 Measure and integration (28-XX) 81 Combinatorics (05-XX) 67 Fluid mechanics (76-XX) 58 Mathematical logic and foundations (03-XX) 56 Functions of a complex variable (30-XX) 55 Systems theory; control (93-XX) 53 Statistics (62-XX) 49 Difference and functional equations (39-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 38 Several complex variables and analytic spaces (32-XX) 38 Optics, electromagnetic theory (78-XX) 36 Integral equations (45-XX) 33 Relativity and gravitational theory (83-XX) 33 Biology and other natural sciences (92-XX) 32 Computer science (68-XX) 31 Mechanics of deformable solids (74-XX) 29 Approximations and expansions (41-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Number theory (11-XX) 21 Special functions (33-XX) 21 Mechanics of particles and systems (70-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Convex and discrete geometry (52-XX) 16 Group theory and generalizations (20-XX) 13 Operations research, mathematical programming (90-XX) 12 Integral transforms, operational calculus (44-XX) 11 General and overarching topics; collections (00-XX) 11 Nonassociative rings and algebras (17-XX) 9 Algebraic geometry (14-XX) 9 Manifolds and cell complexes (57-XX) 9 Geophysics (86-XX) 8 History and biography (01-XX) 6 Category theory; homological algebra (18-XX) 5 Associative rings and algebras (16-XX) 5 General topology (54-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 2 Commutative algebra (13-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.