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On the spectral theory of elliptic differential operators. I

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Outgoing claims: the papers this work cites, builds on, or argues with.

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On the differentiability of the solutions of linear elliptic differential equations
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Interior estimates for elliptic systems of partial differential equations
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Remarks on strongly elliptic partial differential equations
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On the regularity properties of solutions of elliptic differential equations
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Estimates and existence of solutions of elliptic equations
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Multiple layer potentials and the dirichlet problem for higher order elliptic equations in the plane I
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On the analyticity of the solutions of linear elliptic systems of partial differential equations
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Coerciveness of linear partial differential operators for functions satisfying zero dirichlet‐type boundary data
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Integral inequalities for partial differential operators and functions satisfying general boundary conditions
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On the essential spectrum of partial differential boundary problems
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On singular integrals
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�ber lineare elliptische Differentialgleichungen zweiter Ordnung.
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�ber den funktionalen, insbesondere den analytischen Charakter der L�sungen elliptischer Differentialgleichungen zweiter Ordnung
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Halbbeschr�nkte partielle Differentialoperatoren zweiter Ordnung vom elliptischen Typus
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Functional analysis and partial differential equations
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Singul�re elliptische Differentialoperatoren in Hilbertschen R�umen
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On the existence of certain singular integrals
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On the regularity of the solutions of boundary problems
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Problèmes aux limites en théorie des distributions
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Teorema del massimo modulo e teorema di esistenza e di unicità per il problema di Dirichlet relativo alle equazioni ellittiche in due variabili
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The coerciveness problem for integro-differential forms
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A-priori estimates for solutions of elliptic boundary-value problems. I
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The Dirichlet Problem for Linear Elliptic Equations of Arbitrary Even Order with Variable Coefficients
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The Dirichlet and Vibration Problems for Linear Elliptic Differential Equations of Arbitrary Order
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Second Order Elliptic Systems of Differential Equations
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On the Eigenfunctions and Eigenvalues of the General Linear Elliptic Differential Operator
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ESTIMATES AND EXISTENCE THEOREMS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
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ON THE SPECTRAL THEORY OF STRONGLY ELLIPTIC DIFFERENTIAL OPERATORS
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Functional Analysis and Semi-groups
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Solution of the Dirichlet problem for equations not necessarily strongly elliptic
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General boundary value problems for elliptic partial differential equations
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Fundamental properties of Hamiltonian operators of Schrödinger type
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Some Theorems About the Riesz Fractional Integral
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On a theorem of functional analysis
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On the Fredholm Theory of Integral Equations for Operators Belonging to the Trace Class of a General Banach Space
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II. Strongly Elliptic Systems of Differential Equations
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Perturbation of the continuous spectrum and unitary equivalence
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On Singular Integrals
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On Estimating Elliptic Partial Differential Operators in the L 2 Norm
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Eigenfunction Expansions for Non-Symmetric Partial Differential Operators, I
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Uniqueness in the Cauchy Problem for Partial Differential Equations
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On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
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On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part II. Analyticity at the Boundary
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Eigenfunction Expansions for Non-Symmetric Partial Differential Operators, II
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Eigenfunction Expansions for Non-Symmetric Partial Differential Operators, III
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La théorie de Fredholm
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Perturbation of continuous spectra by unbounded operators, I.
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Perturbation of continuous spectra by Trace class operators
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Sur les multiplicateurs des séries de Fourier
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Dirichlet's problem for linear elliptic partial differential equations

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Essential Spectra of 2 × 2 Block Operator Matrices
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Time-Asymptotic Description of the Solution for an Abstract Cauchy Problem
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Fredholm Theory Related to Some Measures
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A semigroup proof of the Sharpe-Lotka theorem
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Self-adjointness for general elliptic operators with Sobolev-type coefficients
inferred← citeshttps://doi.org/10.1007/bfb0094154openalex-snapshot
Approximation d’operateurs locaux et de solutions d’equations d’evolution
inferred← citeshttps://doi.org/10.1007/s000130050231openalex-snapshot
Stability properties of parabolic equations in unbounded domains
inferred← citeshttps://doi.org/10.1007/s00020-010-1779-6openalex-snapshot
A Note on an Operator-Theoretic Approach to Classic Boundary Value Problems for Harmonic and Analytic Functions in Complex Plane Domains
inferred← citeshttps://doi.org/10.1007/s00020-012-1943-2openalex-snapshot
The Taylor–Browder Spectrum on Prime C*-Algebras
inferred← citeshttps://doi.org/10.1007/s00020-015-2274-xopenalex-snapshot
$${{C^m}}$$ C m Positive Eigenvectors for Linear Operators Arising in the Computation of Hausdorff Dimension
inferred← citeshttps://doi.org/10.1007/s00020-025-02820-yopenalex-snapshot
Which Approximate Eigenvalues Are Contained in the Essential Numerical Range? Approximately Normal Eigenvalues of Unbounded Operators in Hilbert and Banach Spaces
inferred← citeshttps://doi.org/10.1007/s00028-019-00526-4openalex-snapshot
Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate
inferred← citeshttps://doi.org/10.1007/s00028-019-00548-yopenalex-snapshot
Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds
inferred← citeshttps://doi.org/10.1007/s00209-004-0686-4openalex-snapshot
Elliptic problems on ?N with unbounded coefficients in classical Sobolev spaces
inferred← citeshttps://doi.org/10.1007/s00220-006-1537-4openalex-snapshot
The Essential Spectrum of Advective Equations
inferred← citeshttps://doi.org/10.1007/s00285-012-0598-6openalex-snapshot
On local bifurcations in neural field models with transmission delays
inferred← citeshttps://doi.org/10.1007/s00285-021-01600-7openalex-snapshot
Spectral properties of a non-compact operator in ecology
inferred← citeshttps://doi.org/10.1007/s00332-010-9091-9openalex-snapshot
Hopf Bifurcation for a Maturity Structured Population Dynamic Model
inferred← citeshttps://doi.org/10.1007/s00605-012-0428-3openalex-snapshot
Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations
inferred← citeshttps://doi.org/10.1007/s10208-012-9122-zopenalex-snapshot
Greedy Approximation of High-Dimensional Ornstein–Uhlenbeck Operators
inferred← citeshttps://doi.org/10.1007/s10440-006-9023-8openalex-snapshot
Fredholm Operators and Riesz Theory for Polynomially Compact Operators
inferred← citeshttps://doi.org/10.1007/s10455-022-09824-6openalex-snapshot
Sobolev spaces and $$\nabla $$-differential operators on manifolds I: basic properties and weighted spaces
inferred← citeshttps://doi.org/10.1007/s10884-013-9318-1openalex-snapshot
Tensor Products, Positive Linear Operators, and Delay-Differential Equations
inferred← citeshttps://doi.org/10.1007/s11117-008-2158-2openalex-snapshot
The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions
inferred← citeshttps://doi.org/10.1007/s11117-021-00847-0openalex-snapshot
Spectrum of weighted composition operators part VI: essential spectra of d-endomorphisms of Banach C(K)-modules
inferred← citeshttps://doi.org/10.1007/s11232-006-0103-8openalex-snapshot
Classical and quantum integrability of Hamiltonians without scattering states
inferred← citeshttps://doi.org/10.1007/s11565-019-00329-yopenalex-snapshot
Spectral analysis of hypoelliptic Višik–Ventcel’ boundary value problems
inferred← citeshttps://doi.org/10.1007/s11784-010-0010-3openalex-snapshot
Generalizing the Krein–Rutman theorem, measures of noncompactness and the fixed point index
inferred← citeshttps://doi.org/10.1007/s11785-007-0034-xopenalex-snapshot
Weyl–Titchmarsh Function of an Abstract Boundary Value Problem, Operator Colligations, and Linear Systems with Boundary Control
inferred← citeshttps://doi.org/10.1007/s11868-016-0162-zopenalex-snapshot
Point spectrum of the operator corresponding to a reliability model and application
inferred← citeshttps://doi.org/10.1007/s12215-014-0147-9openalex-snapshot
On the spectral boundary value problems and boundary approximate controllability of linear systems
inferred← citeshttps://doi.org/10.1007/s12220-021-00639-8openalex-snapshot
Geometric Invariants of Spectrum of the Navier–Lamé Operator
inferred← citeshttps://doi.org/10.1007/s40065-012-0065-7openalex-snapshot
A characterization of the essential pseudospectra on a Banach space
inferred← citeshttps://doi.org/10.1007/s40316-021-00181-7openalex-snapshot
Limiting absorption principle and virtual levels of operators in Banach spaces
inferred← citeshttps://doi.org/10.1016/0001-8708(87)90058-2openalex-snapshot
Operators with hermitian resolvent
inferred← citeshttps://doi.org/10.1016/0022-0396(74)90077-1openalex-snapshot
On the existence, uniqueness and regularity of solutions to general elliptic boundary-value problems
inferred← citeshttps://doi.org/10.1016/0022-0396(76)90011-5openalex-snapshot
On the Lyapunov-stability of stationary solutions of semilinear parabolic differential equations
inferred← citeshttps://doi.org/10.1016/0022-0396(76)90038-3openalex-snapshot
Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators
inferred← citeshttps://doi.org/10.1016/0022-0396(78)90061-xopenalex-snapshot
On the adjoint theory for autonomous linear functional differential equations with unbounded delays
inferred← citeshttps://doi.org/10.1016/0022-0396(78)90067-0openalex-snapshot
Fredholm intersection theory and elliptic boundary deformation problems, II
inferred← citeshttps://doi.org/10.1016/0022-0396(78)90082-7openalex-snapshot
Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations
inferred← citeshttps://doi.org/10.1016/0022-0396(79)90081-0openalex-snapshot
On linear autonomous retarded equations with an abstract phase space for infinite delay
inferred← citeshttps://doi.org/10.1016/0022-0396(83)90056-6openalex-snapshot
Existence, uniqueness, and regularity in boundary problems for mixed order elliptic systems
inferred← citeshttps://doi.org/10.1016/0022-1236(69)90020-2openalex-snapshot
Time dependent hyperbolic equations
inferred← citeshttps://doi.org/10.1016/0022-1236(70)90021-2openalex-snapshot
Asymptotic behavior of the Green's function and spectral function of an elliptic operator
inferred← citeshttps://doi.org/10.1016/0022-1236(71)90041-3openalex-snapshot
Semigroups of operators and measures of noncompactness
inferred← citeshttps://doi.org/10.1016/0022-1236(75)90036-1openalex-snapshot
Globale klassische Lösungen des Cauchyproblems semilinearer parabolischer Differentialgleichungen
inferred← citeshttps://doi.org/10.1016/0022-1236(78)90021-6openalex-snapshot
Über das grösstmögliche wachstum der nichtlinearität bei semilinearen parabolischen Gleichungen beliebiger ordnung
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Elliptic boundary problems with a small parameter
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On the essential spectrum of an arbitrary operator. I
inferred← citeshttps://doi.org/10.1016/0022-247x(67)90150-3openalex-snapshot
Singular perturbations and nonlinear parabolic boundary value problems
inferred← citeshttps://doi.org/10.1016/0022-247x(69)90056-0openalex-snapshot
Compact Sobolev imbeddings for pepper sets
inferred← citeshttps://doi.org/10.1016/0022-247x(69)90217-0openalex-snapshot
On the essential spectrum
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On the growth of solutions of inhomogeneous abstract wave equations
inferred← citeshttps://doi.org/10.1016/0022-247x(73)90167-4openalex-snapshot
Approximate solutions of elliptic differential equations
inferred← citeshttps://doi.org/10.1016/0022-247x(74)90273-xopenalex-snapshot
Sur □u + u3 = f dans un domaine noncylindrique
inferred← citeshttps://doi.org/10.1016/0022-247x(83)90197-xopenalex-snapshot
On essential spectrum of a class of singular integral operators
inferred← citeshttps://doi.org/10.1016/0022-247x(87)90217-4openalex-snapshot
The radius of the essential spectrum
inferred← citeshttps://doi.org/10.1016/0034-4877(76)90007-0openalex-snapshot
Scattering on δ-function potentials
inferred← citeshttps://doi.org/10.1016/0362-546x(79)90031-2openalex-snapshot
Positive eigenvectors of k-set contractions
inferred← citeshttps://doi.org/10.1016/0362-546x(86)90062-3openalex-snapshot
Long time existence and singular perturbation results for quasi-linear hyperbolic equations with small parameter and dissipation term
inferred← citeshttps://doi.org/10.1016/0362-546x(87)90051-4openalex-snapshot
Local existence of solution for the initial boundary value problem of fully nonlinear wave equation
inferred← citeshttps://doi.org/10.1016/0362-546x(87)90089-7openalex-snapshot
Long time existence and singular perturbation results for quasi-linear hyperbolic equations with small parameter and dissipation term—II
inferred← citeshttps://doi.org/10.1016/0362-546x(89)90014-xopenalex-snapshot
Degenerate nonlinear parabolic boundary value problems
inferred← citeshttps://doi.org/10.1016/0362-546x(94)90086-8openalex-snapshot
Bounded solutions of parabolic equations in unbounded domains
inferred← citeshttps://doi.org/10.1016/j.anihpc.2012.07.005openalex-snapshot
Pulsating fronts for nonlocal dispersion and KPP nonlinearity
inferred← citeshttps://doi.org/10.1016/j.crma.2010.07.009openalex-snapshot
Continuous spectrum of the 3D Euler equation is a solid annulus
inferred← citeshttps://doi.org/10.1016/j.indag.2021.10.001openalex-snapshot
Spectrum of weighted composition operators, Part VII: Essential spectra of weighted composition operators on C(K) . The case of non-invertible homeomorphisms
inferred← citeshttps://doi.org/10.1016/j.jde.2008.01.007openalex-snapshot
Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups
inferred← citeshttps://doi.org/10.1016/j.jde.2010.07.003openalex-snapshot
On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
inferred← citeshttps://doi.org/10.1016/j.jde.2014.08.007openalex-snapshot
Fredholm operators, evolution semigroups, and periodic solutions of nonlinear periodic systems
inferred← citeshttps://doi.org/10.1016/j.jde.2014.11.021openalex-snapshot
Local and global well-posedness of the fractional order EPDiff equation on R d
inferred← citeshttps://doi.org/10.1016/j.jde.2022.08.005openalex-snapshot
Operator estimates for homogenization of the Robin Laplacian in a perforated domain
inferred← citeshttps://doi.org/10.1016/j.jfa.2014.09.017openalex-snapshot
Elliptic differential operators on Lipschitz domains and abstract boundary value problems
inferred← citeshttps://doi.org/10.1016/j.jfa.2018.04.005openalex-snapshot
Spectral enclosures for non-self-adjoint extensions of symmetric operators
inferred← citeshttps://doi.org/10.1016/j.jmaa.2003.08.025openalex-snapshot
On essential spectra of operator-matrices and their Feshbach maps
inferred← citeshttps://doi.org/10.1016/j.jmaa.2007.09.074openalex-snapshot
Essential growth rate for bounded linear perturbation of non-densely defined Cauchy problems
inferred← citeshttps://doi.org/10.1016/j.jmaa.2015.07.071openalex-snapshot
Generalized eigenspaces of generators of evolution semigroups
inferred← citeshttps://doi.org/10.1016/j.jmaa.2017.07.010openalex-snapshot
A Bohr–Neugebauer property for abstract almost periodic evolution equations in Banach spaces: Application to a size-structured population model
inferred← citeshttps://doi.org/10.1016/j.jmaa.2018.02.012openalex-snapshot
Iterates of Markov operators and their limits
inferred← citeshttps://doi.org/10.1016/j.jmaa.2020.124828openalex-snapshot
A dynamical approach to the Perron-Frobenius theory and generalized Krein-Rutman type theorems
inferred← citeshttps://doi.org/10.1016/j.jmaa.2026.130731openalex-snapshot
Some constructions and properties of almost automorphic functions and size-structured population models
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