W. D. Evans

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All published works
Action Title Year Authors
+ Inequalities of Rellich Type 2021 D. E. Edmunds
W. D. Evans
Roger T. Lewis
+ Non-negative Extensions of Hamiltonian Systems 2021 B. M. Brown
W. D. Evans
Ian Wood
+ PDF Chat Eigenvalue Properties of Schrödinger Operators 2018 W. D. Evans
Roger T. Lewis
Yoshimi Saitō
+ Essential Spectra of General Second-Order Differential Operators 2018 D. E. Edmunds
W. D. Evans
+ Generalized Dirichlet and Neumann Boundary-Value Problems 2018 D. E. Edmunds
W. D. Evans
+ Global and Asymptotic Estimates for the Eigenvalues of −Δ + <i>q</i> when <i>q</i> Is Real 2018 D. E. Edmunds
W. D. Evans
+ Sesquilinear Forms in Hilbert Spaces 2018 D. E. Edmunds
W. D. Evans
+ Unbounded Linear Operators 2018 D. E. Edmunds
W. D. Evans
+ Second-Order Differential Operators on Arbitrary Open Sets 2018 D. E. Edmunds
W. D. Evans
+ Linear Operators in Banach Spaces 2018 D. E. Edmunds
W. D. Evans
+ The $$p-$$Laplacian 2018 D. E. Edmunds
W. D. Evans
+ The $$L_{p}$$ Approach to the Laplace Operator 2018 D. E. Edmunds
W. D. Evans
+ Elliptic Differential Operators and Spectral Analysis 2018 D. E. Edmunds
W. D. Evans
+ The Classical Dirichlet Problem for Second-Order Elliptic Operators 2018 D. E. Edmunds
W. D. Evans
+ The Analysis and Geometry of Hardy's Inequality 2015 Alexander Balinsky
W. D. Evans
Roger T. Lewis
+ Hardy’s Inequality on Domains 2015 Alexander Balinsky
W. D. Evans
Roger T. Lewis
+ PDF Chat Some spectral properties of Rooms and Passages domains and their skeletons 2013 B. M. Brown
W. D. Evans
Ian Wood
+ Representations of Linear Operators Between Banach Spaces 2013 D. E. Edmunds
W. D. Evans
+ Preliminaries 2013 D. E. Edmunds
W. D. Evans
+ PDF Chat A spectral analysis of compact linear operators in Banach spaces 2012 D. E. Edmunds
W. D. Evans
D.J. Harris
+ Corrigendum. A spectral analysis of compact linear operators in Banach spaces 2012 D. E. Edmunds
W. D. Evans
D.J. Harris
+ PDF Chat The Dirac-Hardy and Dirac-Sobolev inequalities in $L^1$ 2011 Alexander Balinsky
W. D. Evans
Tomio Umeda
+ The Dirac-Hardy and Dirac-Sobolev inequalities in $L^1$ 2011 Alexander Balinsky
W. D. Evans
T. Umeda
+ Spectral Analysis of Relativistic Operators 2010 Alexander Balinsky
W. D. Evans
+ RECENT RESULTS ON HARDY AND RELLICH INEQUALITIES 2009 W. D. Evans
+ Sobolev Embeddings and Hardy Operators 2008 D. E. Edmunds
W. D. Evans
+ PDF Chat The reverse Hardy inequality with measures 2008 W. D. Evans
Амиран Гогатишвили
Bohumı́r Opic
+ PDF Chat Sharp Estimates of the Embedding Constants for Besov Spaces bs p,q, 0 &lt; p &lt; 1 2007 W. D. Evans
Gyorgi E. Karadzhov
D. E. Edmunds
+ PDF Chat Hardy and Rellich inequalities with remainders 2007 W. D. Evans
Roger T. Lewis
+ PDF Chat Sharp Estimates of the Embedding Constants for Besov Spaces 2006 W. D. Evans
G. E. Karadzhov
D. E. Edmunds
+ Spectral problems on arbitrary open subsets of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> involving the distance to the boundary 2005 D. E. Edmunds
W. D. Evans
+ On the approximation numbers of Sobolev embeddings on singular domains and trees 2004 W. D. Evans
+ Hardy Operators, Function Spaces and Embeddings 2004 D. E. Edmunds
W. D. Evans
+ Banach function spaces 2004 D. E. Edmunds
W. D. Evans
+ Hardy Operators, Function Spaces and Embeddings 2004 D. E. Edmunds
W. D. Evans
+ Hardy-type Operators 2004 D. E. Edmunds
W. D. Evans
+ Poincaré and Hardy inequalities 2004 D. E. Edmunds
W. D. Evans
+ On the spectral properties of the Brown–Ravenhall operator 2002 Alexander Balinsky
W. D. Evans
+ Ridged Domains, Embedding Theorems and Poincaré Inequalities 2001 W. D. Evans
D.J. Harris
Luboš Pick
+ On the Zero Modes of Pauli Operators 2001 Alexander Balinsky
W. D. Evans
+ Neumann laplacians on domains and operators on associated trees 2000 W. D. Evans
+ On the zero modes of Pauli operators 2000 Alexander Balinsky
W. D. Evans
+ The approximation numbers of Hardy--type operators on trees 2000 W. D. Evans
D.J. Harris
Ján Lang
+ The approximation numbers of Hardy--type operators on trees 2000 W. D. Evans
D.J. Harris
Ján Lang
+ PDF Chat On the spectrum of second-order differential operators with complex coefficients 1999 B. M. Brown
D. K. R. McCormack
W. D. Evans
Michael Plum
+ Eigenvalue estimates in the semi–classical limit for Pauli and Dirac operators with a magnetic field 1999 W. D. Evans
Roger T. Lewis
+ PDF Chat The HELP inequality for Hamiltonian systems 1999 B. M. Brown
W. D. Evans
Marco Marletta
+ FUNCTION SPACES, ENTROPY NUMBERS AND DIFFERENTIAL OPERATORS (Cambridge Tracts in Mathematics 120) 1998 W. D. Evans
+ On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues 1998 Alexander Balinsky
W. D. Evans
+ Weighted Hardy-Type Inequalities for Differences and the Extension Problem for Spaces with Generalized Smoothness 1998 В. И. Буренков
W. D. Evans
+ Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{∞}$ and L¹ 1998 W. D. Evans
D.J. Harris
Ján Lang
+ A Catalogue of Help and Help-type Integral and Series Inequalities 1998 M. Benammar
C. Bennewitz
Malcolm J. Beynon
B. M. Brown
N.G.J. Dias
W. D. Evans
W. N. Everitt
V. G. Kirby
Lance L. Littlejohn
+ PDF Chat On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms 1998 В. И. Буренков
W. D. Evans
+ Five Integral Inequalities; an Inheritance from Hardy and 1998 W. D. Evans
W. N. Everitt
W. K. Hayman
D. S. Jones
+ Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix 1998 B. M. Brown
M. S. P. Eastham
D. K. R. McCormack
W. D. Evans
+ None 1998 Alexander Balinsky
W. D. Evans
+ PDF Chat Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix 1997 B. M. Brown
M. S. P. Eastham
D. K. R. McCormack
W. D. Evans
+ On the spectrum of second order differential operators with complex coefficients 1997 B. M. Brown
W. D. Evans
D. K. R. McCormack
Michael Plum
+ Computation of the <i>M</i> matrix for fourth-order problems 1996 C. Bennewitz
B. M. Brown
W. D. Evans
D. K. R. McCormack
Marco Marletta
+ PDF Chat The Askey–Wilson polynomials and <i>q</i>-Sturm–Liouville problems 1996 B. M. Brown
W. D. Evans
Mourad E. H. Ismail
+ Weighted Hardy and Poincaré Inequalities on Trees 1995 W. D. Evans
D.J. Harris
Luboš Pick
+ On the Friedrichs extension of semi-bounded difference operators 1994 M. Benammar
W. D. Evans
+ Two Integral Inequalities 1994 B. M. Brown
W. D. Evans
W. N. Everitt
V. G. Kirby
+ Repeated diagonalization and the numerical computation of the Titchmarsh-Weyl <i>m</i> (λ)-function 1994 B. M. Brown
M. S. P. Eastham
W. D. Evans
V. G. Kirby
+ A numerical investigation of HELP inequalities 1994 B. M. Brown
W. D. Evans
V. G. Kirby
+ Fractals, trees and the Neumann Laplacian 1993 W. D. Evans
D.J. Harris
+ On a class of integral inequalities of Hardy-Littlewood type 1993 W. D. Evans
W. N. Everitt
W. K. Hayman
St. Ruscheweyh
+ Real orthogonalizing weights for Bessel polynomials 1993 W. D. Evans
W. N. Everitt
K.H. Kwon
Lance L. Littlejohn
+ Orthogonal polynomials and extensions of Copson's inequality 1993 B. M. Brown
W. D. Evans
Lance L. Littlejohn
+ Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function 1993 B. M. Brown
V. G. Kirby
W. D. Evans
Michael Plum
+ The Agmon spectral function for molecular hamiltonians with symmetry restrictions 1993 W. D. Evans
Roger T. Lewis
Yoshimi Saitō
+ Zhislin's theorem revisited 1992 W. D. Evans
Roger T. Lewis
Yoshimi Saitō
+ Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators 1992 B. M. Brown
W. D. Evans
Lance L. Littlejohn
+ Geometric spectral properties of <i>N</i> -body Schrödinger operators. II 1992 W. D. Evans
Roger T. Lewis
Yoshimi Saitō
+ On an extension of Copson's inequality for infinite series 1992 B. M. Brown
W. D. Evans
+ Remarks 1992 B. M. Brown
W. D. Evans
W. N. Everitt
+ HELP integral and series inequalities 1992 B. M. Brown
W. D. Evans
W. N. Everitt
+ Some geometric spectral properties of N-body Schrödinger operators 1991 W. D. Evans
Roger T. Lewis
Yoshimi Saitō
+ HELP inequalities for limit-circle and regular problems 1991 W. D. Evans
W. N. Everitt
+ Anisotropic Sobolev Spaces and a Quasidistance Function 1991 W. D. Evans
Jiří Rákosník
+ Boundary behaviour of dirichlet eigenfunctions of second order elliptic operators 1990 W. D. Evans
D.J. Harris
Robert M. Kauffman
+ N-Body Schrodinger Operators with Finitely Many Bound States 1990 W. D. Evans
Roger T. Lewis
+ PDF Chat 𝑁-body Schrödinger operators with finitely many bound states 1990 W. D. Evans
Roger T. Lewis
+ Boundary conditions for general ordinary differential operators and their adjoints 1990 W. D. Evans
Sobhy El-Sayed Ibrahim
+ ON THE APPROXIMATION NUMBERS OF SOBOLEV EMBEDDINGS FOR IRREGULAR DOMAINS 1989 W. D. Evans
D.J. Harris
+ Approximation Numbers of Certain Volterra Integral Operators 1988 D. E. Edmunds
W. D. Evans
D.J. Harris
+ CONSTANTS IN SOME INEQUALITIES OF ANALYSIS 1987 W. D. Evans
+ On a class of integral inequalities of Hardy-Littlewood type 1986 W. D. Evans
W. N. Everitt
W. K. Hayman
St. Ruscheweyh
+ On the extension problem for singular accretive differential operators 1986 W. D. Evans
Ian Knowles
+ WEIGHTED SOBOLEV SPACES 1986 W. D. Evans
+ PDF Chat Eigenvalues below the essential spectra of singular elliptic operators 1986 W. D. Evans
Roger T. Lewis
+ On the extension problem for accretive differential operators 1985 W. D. Evans
Ian Knowles
+ On an inequality of Hardy-Littlewood type: I 1985 W. D. Evans
W. N. Everitt
+ Regularly solvable extensions of non-self-adjoint ordinary differential operators 1984 W. D. Evans
+ On the spectrum and the distribution of singular values of Schrödinger operators with a complex potential 1983 D. E. Edmunds
W. D. Evans
Jacqueline Fleckinger
+ Lower bounds for the spectrum of ordinary differential operators 1983 W. D. Evans
Man Kam Kwong
Anton Zettl
+ On a Result of Brinck in the Limit-Point Theory of Second- Order Differential Expressions 1983 W. N. Everitt
Robert P. Gilbert
W. D. Evans
+ Non-self-adjoint operators and their essential spectra 1983 W. D. Evans
Roger T. Lewis
Anton Zettl
+ A return to the Hardy-Littlewood integral inequality 1982 W. D. Evans
W. N. Everitt
+ On the exponential behaviour of eigenfunctions and the essential spectrum of differential operators 1982 F. V. Atkinson
W. D. Evans
+ On the spectra of Schr�dinger operators with a complex potential 1981 W. D. Evans
+ Bounds for the point spectra of separated Dirac operators 1981 W. D. Evans
Bernard Harris
+ On the spectra of Schrödinger operators with a complex potential 1981 W. D. Evans
+ On the spectra of non-self-adjoint realisations of second-order elliptic operators 1981 W. D. Evans
+ On The <i>J</i> -Self-Adjointness of Schrödinger Operators with a Singular Complex Potential 1979 W. D. Evans
+ SPECTRAL THEORY AND EMBEDDINGS OF SOBOLEV SPACES 1979 D. E. Edmunds
W. D. Evans
+ Levinson's limit-point criterion and powers 1978 W. D. Evans
Anton Zettl
+ Norm inequalities involving derivatives 1978 W. D. Evans
Anton Zettl
+ On the essential self-adjointness of powers of Schrödinger-type operators 1977 W. D. Evans
+ Interval Limit-Point Criteria for Differential Expressions and their Powers 1977 W. D. Evans
Anton Zettl
+ The essential self-adjointness of Schrödinger-type operators 1976 M. S. P. Eastham
W. D. Evans
J. B. McLeod
+ 5.—Semi-bounded Dirichlet Integrals and the Invariance of the Essential Spectra of Self-adjoint Operators 1976 W. D. Evans
+ On limit-point and Dirichlet-type results for second-order differential expressions 1976 W. D. Evans
+ On the Essential Spectrum of Second Order Degenerate Elliptic Operators 1974 W. D. Evans
+ On the limit point and strong limit point classification of 2nth order differential expressions with wildly oscillating coefficients 1974 B. M. Brown
W. D. Evans
+ Degenerate Elliptic Operators in Unbounded Domains 1974 W. D. Evans
+ On Non-Integrable Square Solutions of a Fourth-Order Differential Equation and the Limit-2 Classification 1973 W. D. Evans
+ PDF Chat On the length of gaps in the essential spectrum of a generalised Dirac operator 1972 W. D. Evans
+ On solutions of a differential equation which are not of integrable square 1972 Frederick V. Atkinson
W. D. Evans
+ On the Limit-Point, Limit-Circle Classification of a Second-Order Differential Equation with a Complex Coefficient 1971 W. D. Evans
+ Spectral theory of the Dirac operator 1971 W. D. Evans
+ On the Decomposition Method and the Spectrum of the Dirac Operator 1970 W. D. Evans
+ On the Unique Self-Adjoint Extension of the Dirac Operator and the Existence of the Green Matrix 1970 W. D. Evans
+ THE DIRAC EQUATIONS WITH A SPHERICALLY SYMMETRICAL SCALAR POTENTIAL 1970 W. D. Evans
+ EIGENFUNCTION EXPANSIONS ASSOCIATED WITH THE DIRAC RELATIVISTIC EQUATIONS (II) 1967 W. D. Evans
+ 2208. On prime triangles 1951 W. D. Evans
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Perturbation Theory for Linear Operators 1995 Tosio Kato
23
+ Direct methods of qualitative spectral analysis of singular differential operators 1965 I. M. Glazman
20
+ Spectra of partial differential operators 1986 Martin Schechter
16
+ A return to the Hardy-Littlewood integral inequality 1982 W. D. Evans
W. N. Everitt
14
+ Spectral Theory and Differential Operators 2018 D. E. Edmunds
Des Evans
14
+ XXIII.—On an Extension to an Integro-differential Inequality of Hardy, Littlewood and Polya 1972 W. N. Everitt
14
+ PDF Chat Secondary Conditions for Linear Differential Operators of the Second Order 1957 Allen Sims
11
+ PDF Chat Criteria for the limit-point case for second order linear differential operators 1949 Norman Levinson
11
+ 2.—Semi-bounded Second-order Differential Operators 1974 M. S. P. Eastham
10
+ A Characterization of the Friedrichs Extension of Sturm-Liouville Operators 1978 Hubert Kalf
10
+ SPECTRAL THEORY AND EMBEDDINGS OF SOBOLEV SPACES 1979 D. E. Edmunds
W. D. Evans
10
+ Eigenfunction expansions associated with second-order differential equations 1946 E. C. Titchmarsh
10
+ Linear differential operators 1967 M. A. Naĭmark
10
+ Hardy Operators, Function Spaces and Embeddings 2004 D. E. Edmunds
W. D. Evans
9
+ Theory of Function Spaces 1983 Hans Triebel
9
+ Linear Operators in Hilbert Spaces 1980 Joachim Weidmann
9
+ Function Spaces, Entropy Numbers, Differential Operators 1996 D. E. Edmunds
H. Triebel
9
+ On the spectra of non-self-adjoint realisations of second-order elliptic operators 1981 W. D. Evans
9
+ Singular differential operators with spectra discrete and bounded below 1979 Don Hinton
Roger T. Lewis
9
+ A New Characterization of the Friedrichs Extension of Semibounded Sturm-Liouville Operators 1985 R. F. Rosenberger
9
+ On the essential spectrum of partial differential boundary problems 1959 František Wolf
9
+ Discrete spectra criteria for singular differential operators with middle terms 1975 Don Hinton
Roger T. Lewis
9
+ Semigroups of operators and measures of noncompactness 1971 Arnold Lebow
Martin Schechter
8
+ PDF Chat On the equivalence of two types of oscillation for elliptic operators 1974 W. Allegretto
8
+ The Analysis and Geometry of Hardy's Inequality 2015 Alexander Balinsky
W. D. Evans
Roger T. Lewis
8
+ Lower bounds for the spectrum of ordinary differential operators 1983 W. D. Evans
Man Kam Kwong
Anton Zettl
8
+ PDF Chat Elliptic Partial Differential Equations of Second Order 1977 David Gilbarg
Neil S. Trudinger
8
+ �ber gew�hnliche Differentialgleichungen mit Singularit�ten und die zugeh�rigen Entwicklungen willk�rlicher Funktionen 1910 Hermann Weyl
8
+ SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS 1932 G. H. Hardy
J. E. Littlewood
8
+ PDF Chat A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains 2013 Mark S. Ashbaugh
Fritz Gesztesy
Marius Mitrea
Roman Shterenberg
Gerald Teschl
8
+ Spectral Properties of Some Nonselfadjoint Operators and Some Applications 1981 А. Г. Рамм
8
+ Elliptic and degenerate-elliptic operators in unbounded domains 1973 D. E. Edmunds
W. D. Evans
8
+ Regularly solvable extensions of non-self-adjoint ordinary differential operators 1984 W. D. Evans
8
+ On Regularity of the Boundary in the Theory of Sobolev Spaces 1979 L. E. Fraenkel
8
+ Norm inequalities involving derivatives 1978 W. D. Evans
Anton Zettl
8
+ Symmetric transformations in Hilbert space 1940 J. W. Calkin
8
+ Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry 1987 Hans L. Cycon
Barry Simon
8
+ Trace properties of the Dirichlet Laplacian 1985 E. B. Davies
7
+ The analysis of linear partial differential operators 1990 Lars Hörmander
7
+ Boundary Value Problems for Operator Differential Equations 1991 В. И. Горбачук
М. Л. Горбачук
7
+ Orlicz and Sobolev spaces on unbounded domains 1975 D. E. Edmunds
W. D. Evans
7
+ PDF Chat Explicit formulas for optimal rearrangement-invariant norms in Sobolev imbedding inequalities 2011 Ron Kerman
Luboš Pick
7
+ PDF Chat Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains 1972 Melvyn S. Berger
Martin Schechter
7
+ PDF Chat Sur les espaces complets 1930 Casimir Kuratowski
7
+ Basic Linear Partial Differential Equations 1975 François Trèves
7
+ Entropy and Approximation Numbers of Embeddings in Orlicz Spaces 1985 D. E. Edmunds
Rod Edmunds
7
+ Entropy numbers and interpolation 2010 D. E. Edmunds
Yu. V. Netrusov
7
+ Approximation numbers of Sobolev imbeddings over unbounded domains 1978 Hermann König
7
+ Entropy numbers of operators acting between vector‐valued sequence spaces 2012 D. E. Edmunds
Yuri Netrusov
7
+ PDF Chat Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces 1985 Bernd Carl
7