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: 204 Publications since 1967, including 7 Books and 3 Additional arXiv Preprints Biographic References: 1 Publication Co-Authors: 41 Co-Authors with 51 Joint Publications 1,361 Co-Co-Authors all top 5 Co-Authors 152 single-authored 9 Simon, Barry 4 Aslanyan, A. A. 3 Mandouvalos, Nikolaos 3 Pang, Michael M. H. 2 Brown, B. Malcolm 2 Hinz, Andreas M. 2 Jimack, Peter K. 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 Burenkov, Viktor Ivanovich 1 Chandler-Wilde, Simon N. 1 Exner, Pavel 1 Georgescu, Vladimir 1 Gladwell, Graham M. L. 1 Gross, Leonard 1 Hager, Mildred 1 Harrell, Evans M. II 1 Incani, P. A. 1 Kuijlaars, Arno B. J. 1 Levitin, Michael R. 1 Leydold, Josef 1 Lianantonakis, Maria 1 Lieb, Elliott Hershel 1 Lipovský, Jiří 1 Mihajlović, Milan D. 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 106 Operator theory (47-XX) 80 Partial differential equations (35-XX) 35 Quantum theory (81-XX) 27 Functional analysis (46-XX) 26 Ordinary differential equations (34-XX) 26 Global analysis, analysis on manifolds (58-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 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-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 Dynamical systems and ergodic theory (37-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 181 Publications have been cited 6,402 times in 4,692 Documents Cited by ▼ Year ▼ Heat kernels and spectral theory. Zbl 0699.35006 Davies, E. B. 1,046 1989 Quantum theory of open systems. Zbl 0388.46044 Davies, E. B. 585 1976 One-parameter semigroups. Zbl 0457.47030 Davies, E. B. 346 1980 Spectral theory and differential operators. Zbl 0893.47004 Davies, E. B. 330 1995 An operational approach to quantum probability. Zbl 0194.58304 Davies, E. B.; Lewis, J. T. 213 1970 Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians. Zbl 0568.47034 Davies, E. B.; Simon, B. 208 1984 Markovian master equations. Zbl 0294.60080 Davies, E. B. 196 1974 Linear operators and their spectra. Zbl 1138.47001 Davies, E. Brian 183 2007 Explicit constants for Rellich inequalities in \(L_p(\Omega)\). Zbl 0903.58049 Davies, E. B.; Hinz, A. M. 125 1998 A review of Hardy inequalities. Zbl 0936.35121 Davies, E. B. 99 1999 Explicit constants for Gaussian upper bounds on heat kernels. Zbl 0659.35009 Davies, E. B. 98 1987 Uniformly elliptic operators with measurable coefficients. Zbl 0839.35034 Davies, E. B. 97 1995 Heat kernel bounds on hyperbolic space and Kleinian groups. Zbl 0643.30035 Davies, E. B.; Mandouvalos, N. 85 1988 Heat kernel bounds, conservation of probability and the Feller property. Zbl 0808.58041 Davies, E. B. 73 1992 The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026 Davies, E. B.; Pang, M. M. H. 72 1987 Scattering theory for systems with different spatial asymptotics on the left and right. Zbl 0393.34015 Davies, E. B.; Simon, B. 71 1978 Bounds on complex eigenvalues and resonances. Zbl 1123.81415 Abramov, A. A.; Aslanyan, A.; Davies, E. B. 68 2001 Quantum dynamical semigroups and the neutron diffusion equation. Zbl 0372.47020 Davies, E. B. 59 1977 The Hardy constant. Zbl 0857.26005 Davies, E. B. 59 1995 Markovian master equations. II. Zbl 0323.60061 Davies, E. B. 58 1976 The functional calculus. Zbl 0858.47012 Davies, E. B. 57 1995 \(L^p\)-spectral theory of higher-order elliptic differential operators. Zbl 0955.35019 Davies, E. B. 55 1997 Non-Gaussian aspects of heat kernel behaviour. Zbl 0879.35064 Davies, E. B. 54 1997 Non-self-adjoint differential operators. Zbl 1052.47042 Davies, E. B. 50 2002 \(L^ 1\) properties of second order elliptic operators. Zbl 0583.35032 Davies, E. B. 50 1985 Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016 Davies, E. B. 49 1999 Quantum stochastic processes. Zbl 0184.54102 Davies, E. B. 49 1969 Semi-classical states for non-self-adjoint Schrödinger operators. Zbl 0921.47060 Davies, E. B. 46 1999 Lipschitz continuity of functions of operators in the Schatten classes. Zbl 0648.47011 Davies, E. B. 44 1988 Spectral pollution. Zbl 1062.65056 Davies, E. B.; Plum, M. 44 2004 Non-commutative symmetric Markov semigroups. Zbl 0761.46051 Davies, E. Brian; Lindsay, J. Martin 44 1992 Information and quantum measurement. Zbl 0382.94009 Davies, E. B. 43 1978 Generators of dynamical semigroups. Zbl 0428.47021 Davies, E. B. 41 1979 Trapped modes in acoustic waveguides. Zbl 0908.76083 Davies, E. B.; Parnovski, L. 41 1998 \(L^ p\) norms of non-critical Schrödinger semigroups. Zbl 0743.47047 Davies, E. B.; Simon, B. 41 1991 Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds. Zbl 0759.58045 Davies, E. B. 40 1988 Discrete nodal domain theorems. Zbl 0990.05093 Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F. 39 2001 The equivalence of certain heat kernel and Green function bounds. Zbl 0652.35023 Davies, E. B. 39 1987 Large deviations for heat kernels on graphs. Zbl 0799.58086 Davies, E. B. 39 1993 Pointwise bounds on the space and time derivatives of heat kernels. Zbl 0702.35106 Davies, E. B. 37 1989 Quantum stochastic processes. II. Zbl 0199.28202 Davies, E. B. 37 1970 Schrödinger operators with slowly decaying potentials. Zbl 1019.34083 Davies, E. B.; Nath, Jiban 32 2002 Spectral stability of the Neumann Laplacian. Zbl 1042.35035 Burenkov, V. I.; Davies, E. B. 32 2002 Sharp bounds on heat kernels of higher order uniformly elliptic operators. Zbl 0869.35048 Barbatis, G.; Davies, E. B. 30 1996 \(L^p\) spectral independence and \(L^1\) analyticity. Zbl 0913.47032 Davies, E. B. 30 1995 Limits on \(L^ p\) regularity of self-adjoint elliptic operators. Zbl 0871.35020 Davies, E. B. 30 1997 Wild spectral behaviour of anharmonic oscillators. Zbl 1043.47502 Davies, E. B. 29 2000 Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093 Davies, E. B.; Kuijlaars, A. B. J. 29 2004 Heat flow out of regions in \({\mathbb{R}}^ m\). Zbl 0661.35040 van den Berg, M.; Davies, E. B. 27 1989 On Enss’ approach to scattering theory. Zbl 0434.47014 Davies, E. B. 24 1980 Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation. Zbl 0616.34020 Davies, E. B.; Harrell, Evans M. II 24 1987 Spectral properties of compact manifolds and changes of metric. Zbl 0691.53031 Davies, E. B. 24 1990 L p spectral theory of Kleinian groups. Zbl 0644.58022 Davies, E. B.; Simon, Barry; Taylor, Michael 23 1988 Some norm bounds and quadratic form inequalities for Schrödinger operators. II. Zbl 0567.47006 Davies, E. B. 23 1984 Analysis on graphs and noncommutative geometry. Zbl 0793.46043 Davies, E. B. 23 1993 Sharp boundary estimates for elliptic operators. Zbl 0963.35146 Davies, E. B. 22 2000 Pseudospectra of differential operators. Zbl 0998.34067 Davies, E. Brian 22 2000 The structure and ideal theory of the predual of a Banach lattice. Zbl 0159.41503 Davies, E. B. 22 1968 Embeddable Markov matrices. Zbl 1226.60102 Davies, E. B. 22 2010 Spectral enclosures and complex resonances for general self-adjoint operators. Zbl 0931.47021 Davies, E. B. 20 1998 Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004 Davies, E. B.; Pang, M. M. H. 20 1989 Some contraction semigroups in quantum probability. Zbl 0231.20023 Davies, E. B. 20 1972 Non-unitary scattering and capture. I: Hilbert space theory. Zbl 0428.47006 Davies, E. B. 19 1980 Kato class potentials for higher order elliptic operators. Zbl 0942.35063 Davies, E. B.; Hinz, A. M. 19 1999 Spectral instability for some Schrödinger operators. Zbl 0964.65076 Aslanyan, A.; Davies, E. B. 19 2000 On the Borel structure of \(C^ *\)-algebras. Zbl 0153.44701 Davies, E. B. 18 1968 Non-selfadjoint operators and pseudospectra. Zbl 1132.47002 Davies, E. B. 18 2007 Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056 Davies, E. Brian; Pushnitski, Alexander 18 2011 Irreversible dynamics of infinite Fermion systems. Zbl 0361.47013 Davies, E. B. 17 1977 Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle. Zbl 1127.47037 Davies, E. B.; Simon, B. 17 2006 Perturbations of Jordan matrices. Zbl 1164.15004 Davies, E. B.; Hager, Mildred 17 2009 Spectral properties of random non-self-adjoint matrices and operators. Zbl 1014.47002 Davies, E. B. 16 2001 \(L^ 1\)-properties of intrinsic Schrödinger semigroups. Zbl 0613.47039 Davies, E. B.; Simon, B. 16 1986 Heat kernel bounds for second order elliptic operators on Riemannian manifolds. Zbl 0648.58037 Davies, E. B. 16 1987 Eigenvalue stability bounds via weighted Sobolev spaces. Zbl 0799.58082 Davies, E. B. 16 1993 The twisting trick for double well Hamiltonians. Zbl 0524.47019 Davies, E. B. 16 1982 Metastable states of symmetric Markov semigroups. II. Zbl 0527.47028 Davies, E. B. 16 1982 Spectral properties of Neumann Laplacian of horns. Zbl 0749.35024 Davies, E. B.; Simon, B. 16 1992 Non-Weyl asymptotics for quantum graphs with general coupling conditions. Zbl 1204.81078 Davies, E. Brian; Exner, Pavel; Lipovský, Jiří 16 2010 Properties of the Green’s functions of some Schrödinger operators. Zbl 0271.47003 Davies, E. B. 15 1974 Spectral theory of pseudo-ergodic operators. Zbl 1044.47031 Davies, E. B. 14 2001 Building infinite machines. Zbl 1020.03004 Davies, E. B. 14 2001 Markovian master equations. III. Zbl 0323.60062 Davies, E. B. 13 1975 Scattering from infinite sheets. Zbl 0362.47003 Davies, E. B. 13 1977 Hypercontractivity: A bibliographic review. Zbl 0790.46055 Davies, E. Brian; Gross, Leonard; Simon, Barry 13 1992 Tensor products, infinite products, and projective limits of Choquet simplexes. Zbl 0176.42802 Davies, E. B.; Vincent-Smith, G. F. 13 1968 Quantum stochastic processes. III. Zbl 0217.50701 Davies, E. B. 12 1971 Metastable states of symmetric Markov semigroups. I. Zbl 0498.47017 Davies, E. B. 12 1982 Approximate diagonalization. Zbl 1157.65024 Davies, E. B. 12 2008 Symmetry breaking for a nonlinear Schrödinger equation. Zbl 0405.35027 Davies, E. B. 11 1979 Superderivations and symmetric Markov semigroups. Zbl 0799.46081 Davies, E. Brian; Lindsay, J. Martin 11 1993 The state of the art for heat kernel bounds on negatively curved manifolds. Zbl 0802.58053 Davies, E. B. 11 1993 The Choquet theory and representation of ordered Banach spaces. Zbl 0165.46801 Davies, E. B. 11 1969 Spectrum of a Feinberg-Zee random hopping matrix. Zbl 1262.15007 Chandler-Wilde, Simon N.; Davies, E. Brian 11 2012 Some commutator estimates in the Schatten classes. Zbl 0692.47009 Abdessemed, A.; Davies, E. B. 11 1989 Markov semigroups on \(C^*\)-bundles. Zbl 0694.46049 Davies, E. B.; Rothaus, O. S. 11 1989 Two-channel Hamiltonians and the optical model of nuclear scattering. Zbl 0427.47004 Davies, E. B. 10 1978 The classical limit for quantum dynamical semigroups. Zbl 0355.60069 Davies, E. B. 10 1976 A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Zbl 0977.65101 Brown, B. M.; Davies, E. B.; Jimack, P. K. 10 2000 Trace properties of the Dirichlet Laplacian. Zbl 0573.35072 Davies, E. B. 10 1985 Level sets of the resolvent norm of a linear operator revisited. Zbl 1328.47006 Davies, E. Brian; Shargorodsky, Eugene 3 2016 Spectra of a class of non-self-adjoint matrices. Zbl 1286.15011 Davies, E. B.; Levitin, Michael 3 2014 Sectorial perturbations of self-adjoint matrices and operators. Zbl 1292.47002 Davies, E. B. 1 2014 An inverse spectral theorem. Zbl 1274.35410 Davies, E. B. 8 2013 Singular Schrödinger operators in one dimension. Zbl 1282.34087 Davies, E. B. 4 2013 \(C^*\)-algebras associated with some second order differential operators. Zbl 1299.46075 Davies, E. B.; Georgescu, V. 1 2013 Spectrum of a Feinberg-Zee random hopping matrix. Zbl 1262.15007 Chandler-Wilde, Simon N.; Davies, E. Brian 11 2012 Non-Weyl resonance asymptotics for quantum graphs. Zbl 1268.34056 Davies, E. Brian; Pushnitski, Alexander 18 2011 Algebraic aspects of spectral theory. Zbl 1210.47063 Davies, E. B. 2 2011 Embeddable Markov matrices. Zbl 1226.60102 Davies, E. B. 22 2010 Non-Weyl asymptotics for quantum graphs with general coupling conditions. Zbl 1204.81078 Davies, E. Brian; Exner, Pavel; Lipovský, Jiří 16 2010 Convergence of eigenvalues for a highly non-self-adjoint differential operator. Zbl 1196.34112 Davies, E. B.; Weir, John 3 2010 Spectral properties of matrices associated with some directed graphs. Zbl 1189.15011 Davies, E. B.; Incani, P. A. 2 2010 Perturbations of Jordan matrices. Zbl 1164.15004 Davies, E. B.; Hager, Mildred 17 2009 Decomposing the essential spectrum. Zbl 1176.47001 Davies, E. B. 6 2009 Approximate diagonalization. Zbl 1157.65024 Davies, E. B. 12 2008 Linear operators and their spectra. Zbl 1138.47001 Davies, E. Brian 183 2007 Non-selfadjoint operators and pseudospectra. Zbl 1132.47002 Davies, E. B. 18 2007 An indefinite convection-diffusion operator. Zbl 1221.35260 Davies, E. B. 8 2007 Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle. Zbl 1127.47037 Davies, E. B.; Simon, B. 17 2006 Triviality of the peripheral point spectrum. Zbl 1098.47036 Davies, E. B. 10 2005 Semigroup growth bounds. Zbl 1114.47040 Davies, E. B. 6 2005 A defence of mathematical pluralism. Zbl 1093.03502 Davies, E. B. 4 2005 Spectral bounds using higher-order numerical ranges. Zbl 1119.47004 Davies, E. B. 3 2005 Open access lecture notes. Zbl 1137.00309 Davies, E. Brian 3 2005 Semi-classical analysis and pseudo-spectra. Zbl 1088.81042 Davies, E. B. 2 2005 Spectral pollution. Zbl 1062.65056 Davies, E. B.; Plum, M. 44 2004 Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093 Davies, E. B.; Kuijlaars, A. B. J. 29 2004 Computing the decay of a simple reversible sub-Markov semigroup. Zbl 1055.65112 Davies, E. B. 1 2004 Eigenvalues of an elliptic system. Zbl 1032.34078 Davies, E. B. 10 2003 Empiricism in arithmetic and analysis. Zbl 1047.00003 Davies, E. B. 1 2003 Quantum mechanics does not require the continuity of space. Zbl 1222.81052 Davies, E. B. 1 2003 Non-self-adjoint differential operators. Zbl 1052.47042 Davies, E. B. 50 2002 Schrödinger operators with slowly decaying potentials. Zbl 1019.34083 Davies, E. B.; Nath, Jiban 32 2002 Spectral stability of the Neumann Laplacian. Zbl 1042.35035 Burenkov, V. I.; Davies, E. B. 32 2002 Bounds on complex eigenvalues and resonances. Zbl 1123.81415 Abramov, A. A.; Aslanyan, A.; Davies, E. B. 68 2001 Discrete nodal domain theorems. Zbl 0990.05093 Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F. 39 2001 Spectral properties of random non-self-adjoint matrices and operators. Zbl 1014.47002 Davies, E. B. 16 2001 Spectral theory of pseudo-ergodic operators. Zbl 1044.47031 Davies, E. B. 14 2001 Building infinite machines. Zbl 1020.03004 Davies, E. B. 14 2001 Wild spectral behaviour of anharmonic oscillators. Zbl 1043.47502 Davies, E. B. 29 2000 Sharp boundary estimates for elliptic operators. Zbl 0963.35146 Davies, E. B. 22 2000 Pseudospectra of differential operators. Zbl 0998.34067 Davies, E. Brian 22 2000 Spectral instability for some Schrödinger operators. Zbl 0964.65076 Aslanyan, A.; Davies, E. B. 19 2000 A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Zbl 0977.65101 Brown, B. M.; Davies, E. B.; Jimack, P. K. 10 2000 A hierarchical method for obtaining eigenvalue enclosures. Zbl 0958.34067 Davies, E. B. 5 2000 On eigenfunction approximations for typical non-selfadjoint Schrödinger operators. Zbl 1024.34077 Aslanyan, A.; Davies, E. B. 2 2000 A review of Hardy inequalities. Zbl 0936.35121 Davies, E. B. 99 1999 Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016 Davies, E. B. 49 1999 Semi-classical states for non-self-adjoint Schrödinger operators. Zbl 0921.47060 Davies, E. B. 46 1999 Kato class potentials for higher order elliptic operators. Zbl 0942.35063 Davies, E. B.; Hinz, A. M. 19 1999 Pointwise lower bounds on the heat kernels of higher order elliptic operators. Zbl 0926.35032 Davies, E. B. 2 1999 ICMS lecture notes on computational spectral theory. Zbl 0952.47004 Davies, E. B. 1 1999 Explicit constants for Rellich inequalities in \(L_p(\Omega)\). Zbl 0903.58049 Davies, E. B.; Hinz, A. M. 125 1998 Trapped modes in acoustic waveguides. Zbl 0908.76083 Davies, E. B.; Parnovski, L. 41 1998 Spectral enclosures and complex resonances for general self-adjoint operators. Zbl 0931.47021 Davies, E. B. 20 1998 \(L^p\)-spectral theory of higher-order elliptic differential operators. Zbl 0955.35019 Davies, E. B. 55 1997 Non-Gaussian aspects of heat kernel behaviour. Zbl 0879.35064 Davies, E. B. 54 1997 Limits on \(L^ p\) regularity of self-adjoint elliptic operators. Zbl 0871.35020 Davies, E. B. 30 1997 Sharp bounds on heat kernels of higher order uniformly elliptic operators. Zbl 0869.35048 Barbatis, G.; Davies, E. B. 30 1996 \(L^ p\) spectral independence for certain uniformly elliptic operators. Zbl 0864.35077 Davies, E. B. 6 1996 Spectral theory and differential operators. Zbl 0893.47004 Davies, E. B. 330 1995 Uniformly elliptic operators with measurable coefficients. Zbl 0839.35034 Davies, E. B. 97 1995 The Hardy constant. Zbl 0857.26005 Davies, E. B. 59 1995 The functional calculus. Zbl 0858.47012 Davies, E. B. 57 1995 \(L^p\) spectral independence and \(L^1\) analyticity. Zbl 0913.47032 Davies, E. B. 30 1995 Long time asymptotics of fourth order parabolic equations. Zbl 0851.35018 Davies, E. B. 8 1995 Nonlinear Schrödinger operators and molecular structure. Zbl 0861.47049 Davies, E. B. 2 1995 Heat kernel bounds for higher order elliptic operators. Zbl 0994.58011 Davies, E. B. 2 1995 Two-dimensional Riemannian manifolds with fractal boundaries. Zbl 0824.58043 Davies, E. B. 3 1994 Large deviations for heat kernels on graphs. Zbl 0799.58086 Davies, E. B. 39 1993 Analysis on graphs and noncommutative geometry. Zbl 0793.46043 Davies, E. B. 23 1993 Eigenvalue stability bounds via weighted Sobolev spaces. Zbl 0799.58082 Davies, E. B. 16 1993 Superderivations and symmetric Markov semigroups. Zbl 0799.46081 Davies, E. Brian; Lindsay, J. Martin 11 1993 The state of the art for heat kernel bounds on negatively curved manifolds. Zbl 0802.58053 Davies, E. B. 11 1993 Heat kernels in one dimension. Zbl 0830.34019 Davies, E. B. 7 1993 Heat kernel and Hardy estimates for locally Euclidean manifolds with fractal boundaries. Zbl 0797.58087 Davies, E. B.; Lianantonakis, M. 4 1993 Heat kernel bounds, conservation of probability and the Feller property. Zbl 0808.58041 Davies, E. B. 73 1992 Non-commutative symmetric Markov semigroups. Zbl 0761.46051 Davies, E. Brian; Lindsay, J. Martin 44 1992 Spectral properties of Neumann Laplacian of horns. Zbl 0749.35024 Davies, E. B.; Simon, B. 16 1992 Hypercontractivity: A bibliographic review. Zbl 0790.46055 Davies, E. Brian; Gross, Leonard; Simon, Barry 13 1992 \(L^ p\) norms of non-critical Schrödinger semigroups. Zbl 0743.47047 Davies, E. B.; Simon, B. 41 1991 Spectral properties of compact manifolds and changes of metric. Zbl 0691.53031 Davies, E. B. 24 1990 The hyperbolic geometry and spectrum of irregular domains. Zbl 0709.58038 Davies, E. B.; Mandouvalos, N. 2 1990 The eigenvalue gap for second-order elliptic operators with Dirichlet boundary conditions. Zbl 0716.35057 Davies, E. B.; Pang, M. M. H. 1 1990 Heat kernels and spectral theory. Zbl 0699.35006 Davies, E. B. 1,046 1989 Pointwise bounds on the space and time derivatives of heat kernels. Zbl 0702.35106 Davies, E. B. 37 1989 Heat flow out of regions in \({\mathbb{R}}^ m\). Zbl 0661.35040 van den Berg, M.; Davies, E. B. 27 1989 Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004 Davies, E. B.; Pang, M. M. H. 20 1989 Some commutator estimates in the Schatten classes. Zbl 0692.47009 Abdessemed, A.; Davies, E. B. 11 1989 Markov semigroups on \(C^*\)-bundles. Zbl 0694.46049 Davies, E. B.; Rothaus, O. S. 11 1989 A BLW inequality for vector bundles and applications to spectral bounds. Zbl 0696.58046 Davies, E. B.; Rothaus, O. S. 5 1989 Heat kernel bounds on hyperbolic space and Kleinian groups. Zbl 0643.30035 Davies, E. B.; Mandouvalos, N. 85 1988 Lipschitz continuity of functions of operators in the Schatten classes. Zbl 0648.47011 Davies, E. B. 44 1988 Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds. Zbl 0759.58045 Davies, E. B. 40 1988 L p spectral theory of Kleinian groups. Zbl 0644.58022 Davies, E. B.; Simon, Barry; Taylor, Michael 23 1988 Kernel estimates for functions of second order elliptic operators. Zbl 0652.35024 Davies, E. B. 6 1988 Explicit constants for Gaussian upper bounds on heat kernels. Zbl 0659.35009 Davies, E. B. 98 1987 The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026 Davies, E. B.; Pang, M. M. H. 72 1987 The equivalence of certain heat kernel and Green function bounds. Zbl 0652.35023 Davies, E. B. 39 1987 ...and 81 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,294 Authors 85 Davies, Edward Brian 32 Saloff-Coste, Laurent 31 Gudder, Stanley P. 31 Simon, Barry 31 Wang, Feng-Yu 29 Song, Renming 28 Grigor’yan, Alexander Asaturovich 27 van den Berg, Michiel 26 Yan, Lixin 25 Grillo, Gabriele 25 Krejčiřík, David 25 Ouhabaz, El Maati 25 Robinson, Derek William 24 Gesztesy, Fritz 22 Duong, Xuan Thinh 22 Pillet, Claude-Alain 21 Lahti, Pekka Johannes 21 Laptev, Ari 20 Avkhadiev, Farit Gabidinovich 20 Barbatis, Gerassimos 20 Jakšić, Vojkan 19 Chen, Zhen-Qing 19 Sukochev, Fedor Anatol’evich 19 Yang, Dachun 18 Frank, Rupert L. 18 Wang, Jian 17 Bañuelos, Rodrigo 17 Batty, Charles J. K. 17 Kholevo, Aleksandr Semënovich 17 Siegl, Petr 17 Sikora, Adam 17 ter Elst, Antonius Frederik Maria 17 Vazquez, Juan Luis 16 Boulton, Lyonell 16 Jeribi, Aref 16 Kim, Panki 16 Metafune, Giorgio 16 Zhang, Qi-Shuhuason 15 Arendt, Wolfgang 15 Sjöstrand, Johannes 15 Warma, Mahamadi 14 Albeverio, Sergio A. 14 Frigerio, Alberto 14 Helffer, Bernard 14 Mugnolo, Delio 14 Ozawa, Masanao 14 Pang, Michael M. H. 14 Pellonpää, Juha-Pekka 14 Ruzhansky, Michael V. 13 Ammar, Aymen 13 Benatti, Fabio 13 Beneduci, Roberto 13 Burenkov, Viktor Ivanovich 13 Fagnola, Franco 13 Fröhlich, Jürg Martin 13 Ishige, Kazuhiro 13 Ishkin, Khabir Kabirovich 13 Lamberti, Pier Domenico 13 Lu, Guozhen 13 Tertikas, Achilles 13 Yao, Xiaohua 12 Bagarello, Fabio 12 Barchielli, Alberto 12 Coulhon, Thierry 12 De Roeck, Wojciech 12 Exner, Pavel 12 Harrell, Evans M. II 12 Khrennikov, Andreĭ Yur’evich 12 Kumagai, Takashi 12 Lenz, Daniel H. 12 Lindner, Marko 12 Marletta, Marco 12 Punzo, Fabio 12 Yang, Qiaohua 12 Ylinen, Kari 11 Alicki, Robert 11 Bonforte, Matteo 11 Chruściński, Dariusz 11 Demuth, Michael 11 Evans, David E. 11 Kovařík, Hynek 11 Lorenzi, Luca 11 Murata, Minoru 11 Pinchover, Yehuda 11 Voigt, Jurgen 10 Accardi, Luigi 10 Barlow, Martin T. 10 Bugajski, Sławomir 10 Cuenin, Jean-Claude 10 deLaubenfels, Ralph J. 10 Goldstein, Jerome Arthur 10 Heinosaari, Teiko 10 Hempel, Rainer 10 Pautrat, Yan 10 Pellegrini, Clément 10 Sinha, Kalyan B. 10 Suragan, Durvudkhan 10 Takeda, Masayoshi 10 Zegarlinski, Boguslaw 9 Chen, Peng ...and 4,194 more Authors all top 5 Cited in 490 Serials 367 Journal of Functional Analysis 225 Journal of Mathematical Physics 197 Communications in Mathematical Physics 162 Journal of Mathematical Analysis and Applications 121 Journal of Differential Equations 90 Potential Analysis 85 Transactions of the American Mathematical Society 76 Mathematische Zeitschrift 73 Proceedings of the American Mathematical Society 72 International Journal of Theoretical Physics 58 Annales Henri Poincaré 54 Reports on Mathematical Physics 53 Mathematische Annalen 52 Linear Algebra and its Applications 50 Journal of Physics A: Mathematical and Theoretical 48 Advances in Mathematics 48 Integral Equations and Operator Theory 47 The Journal of Geometric Analysis 45 Journal of Statistical Physics 45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 41 Reviews in Mathematical Physics 39 The Annals of Probability 39 Semigroup Forum 38 Journal de Mathématiques Pures et Appliquées. Neuvième Série 38 Journal of Evolution Equations 37 Probability Theory and Related Fields 36 Physics Letters. A 36 Stochastic Processes and their Applications 36 Journal of Spectral Theory 35 Annals of Physics 33 Letters in Mathematical Physics 33 Calculus of Variations and Partial Differential Equations 29 Mathematische Nachrichten 29 Communications in Partial Differential Equations 27 Open Systems & Information Dynamics 27 Foundations of Physics 26 Journal of Mathematical Sciences (New York) 25 Annales de l’Institut Fourier 25 Quantum Information Processing 24 Publications of the Research Institute for Mathematical Sciences, Kyoto University 24 Revista Matemática Iberoamericana 24 Infinite Dimensional Analysis, Quantum Probability and Related Topics 23 Duke Mathematical Journal 21 Annali di Matematica Pura ed Applicata. Serie Quarta 21 Acta Applicandae Mathematicae 21 Annales de l’Institut Henri Poincaré. Physique Théorique 21 New Journal of Physics 20 Mathematical Notes 20 Lobachevskii Journal of Mathematics 19 Journal d’Analyse Mathématique 19 Journal of Approximation Theory 18 Israel Journal of Mathematics 18 Theoretical and Mathematical Physics 18 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 18 Positivity 17 Archive for Rational Mechanics and Analysis 17 Journal of Computational and Applied Mathematics 17 The Annals of Applied Probability 17 The Journal of Fourier Analysis and Applications 17 International Journal of Quantum Information 16 Inventiones Mathematicae 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Physica A 15 Journal of Geometry and Physics 15 Journal of Theoretical Probability 14 Archiv der Mathematik 14 Journal of Soviet Mathematics 14 Manuscripta Mathematica 14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 14 Bulletin des Sciences Mathématiques 13 Mathematics of Computation 13 Memoirs of the American Mathematical Society 13 Tôhoku Mathematical Journal. Second Series 13 SIAM Journal on Mathematical Analysis 13 Discrete and Continuous Dynamical Systems 13 Journal of the European Mathematical Society (JEMS) 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Communications on Pure and Applied Analysis 13 Complex Analysis and Operator Theory 12 Communications on Pure and Applied Mathematics 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 12 Journal of the London Mathematical Society. Second Series 12 Journal of the Mathematical Society of Japan 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Science China. Mathematics 12 Journal of Pseudo-Differential Operators and Applications 11 Mathematical Methods in the Applied Sciences 11 Numerische Mathematik 11 Mathematical Physics, Analysis and Geometry 11 Communications in Contemporary Mathematics 10 Physica D 10 St. Petersburg Mathematical Journal 9 Applicable Analysis 9 Physics Reports 9 Functional Analysis and its Applications 9 Journal für die Reine und Angewandte Mathematik 9 Stochastic Analysis and Applications 9 Forum Mathematicum 9 Applied and Computational Harmonic Analysis ...and 390 more Serials all top 5 Cited in 62 Fields 1,695 Partial differential equations (35-XX) 1,505 Operator theory (47-XX) 1,260 Quantum theory (81-XX) 885 Probability theory and stochastic processes (60-XX) 737 Functional analysis (46-XX) 501 Global analysis, analysis on manifolds (58-XX) 382 Statistical mechanics, structure of matter (82-XX) 248 Ordinary differential equations (34-XX) 223 Real functions (26-XX) 215 Harmonic analysis on Euclidean spaces (42-XX) 208 Differential geometry (53-XX) 184 Potential theory (31-XX) 152 Numerical analysis (65-XX) 124 Linear and multilinear algebra; matrix theory (15-XX) 106 Topological groups, Lie groups (22-XX) 106 Abstract harmonic analysis (43-XX) 105 Dynamical systems and ergodic theory (37-XX) 101 Information and communication theory, circuits (94-XX) 95 Measure and integration (28-XX) 92 Combinatorics (05-XX) 73 Fluid mechanics (76-XX) 62 Systems theory; control (93-XX) 61 Functions of a complex variable (30-XX) 60 Mathematical logic and foundations (03-XX) 58 Statistics (62-XX) 54 Difference and functional equations (39-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 43 Several complex variables and analytic spaces (32-XX) 42 Computer science (68-XX) 39 Optics, electromagnetic theory (78-XX) 38 Integral equations (45-XX) 36 Relativity and gravitational theory (83-XX) 35 Biology and other natural sciences (92-XX) 32 Mechanics of deformable solids (74-XX) 31 Approximations and expansions (41-XX) 31 Mechanics of particles and systems (70-XX) 27 Order, lattices, ordered algebraic structures (06-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Number theory (11-XX) 25 Classical thermodynamics, heat transfer (80-XX) 22 Special functions (33-XX) 21 Convex and discrete geometry (52-XX) 16 Group theory and generalizations (20-XX) 16 Operations research, mathematical programming (90-XX) 14 Integral transforms, operational calculus (44-XX) 13 Algebraic geometry (14-XX) 13 Nonassociative rings and algebras (17-XX) 11 General and overarching topics; collections (00-XX) 9 History and biography (01-XX) 9 Manifolds and cell complexes (57-XX) 8 Associative rings and algebras (16-XX) 8 Geophysics (86-XX) 6 Category theory; homological algebra (18-XX) 6 General topology (54-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 2 General algebraic systems (08-XX) 2 Commutative algebra (13-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-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. 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