scientific article

Publication date: 1986

Title of this publication is not available (Why is that?)

spectrum constant coefficients essential spectrum relative compactness essential self-adjointness variable coefficients Elliptic operators linear partial differential operator quantum mechanical systems of particles

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbations in context of PDEs (35B20) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (95)

Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers ⋮ On the two spectra inverse problem for semi-infinite Jacobi matrices ⋮ Dirichlet problem characterization of regularity ⋮ Bifurcation from infinity for elliptic problems on ${\mathbb {R}}^N$ ⋮ Completeness of Averaged Scattering Solutions and Inverse Scattering at a Fixed Energy ⋮ Title not available (Why is that?) ⋮ Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials ⋮ Perturbation of m-accretive operators in banach spaces ⋮ Spectral Theory of Pseudo-Differential Operators on $$\mathbb{S}^1$$ ⋮ Estimates for eigenvalues of Schrödinger operators with complex-valued potentials ⋮ The $C$-regularized semigroup method for partial differential equations with delays ⋮ Perturbed periodic Hamiltonians: Essential spectrum and exponential decay of eigenfunctions ⋮ Eigenvalues for semilinear boundary value problems ⋮ Aharonov-Bohm effect and high-momenta inverse scattering for the Klein-Gordon equation ⋮ Time delay for the Dirac equation ⋮ Regularity for solutions of quasilinear elliptic equations under minimal assumptions ⋮ Semilinear problems in unbounded domains ⋮ Multi-bump solutions to a nonlinear Schrödinger equation with steep magnetic wells ⋮ Resolvent estimates and bounds on eigenvalues for Dirac operators on the half-line ⋮ Classes of uniform convergence of spectral expansions for the one-dimensional Schrödinger operator with a distribution potential ⋮ A characterization of the essential pseudospectra on a Banach space ⋮ Singular Elliptic Operators of Second Order with Purely Discrete Spectra ⋮ Moments of certain stochastic integrals occurring in mathematical physics ⋮ A comparison theorem for nonsmooth nonlinear operators ⋮ Weighted estimates for the Helmholtz equation and some applications ⋮ On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries ⋮ The essential numerical range for unbounded linear operators ⋮ The normal derivative lemma and surrounding issues ⋮ Strong unique continuation for solutions of a $p(x)$-Laplacian problem ⋮ Nonlinear elliptic boundary value problems at resonance ⋮ Title not available (Why is that?) ⋮ Pseudospectra and essential pseudospectra of multivalued linear relations ⋮ The inverse, the heat semigroup, Liouville's theorems and the spectrum for the Grushin operator ⋮ Schrödinger operators with magnetic and electric potentials ⋮ A note on the Kato class and some applications ⋮ Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes ⋮ On a characterization of the structured Wolf, Schechter and Browder essential pseudospectra ⋮ The Weyl essential spectrum of a sequence of linear operators in Banach spaces ⋮ A Fefferman-Poincaré type inequality for Carnot-Carathéodory vector fields ⋮ Instability of Solitons in the 2d Cubic Zakharov-Kuznetsov Equation ⋮ The Hampwile theorem for nonlinear eigenvalues ⋮ Nonlinear Kato class and unique continuation of eigenfunctions for $p$-Laplacian operator ⋮ Convex hypersurfaces and $L^p$ estimates for Schrödinger equations. ⋮ Existence of blow-up solutions in the energy space for the critical generalized KdV equation ⋮ Regularity for Elliptic Equations under Minimal Assumptions ⋮ The spectra of the Laplacian ⋮ Bifurcation from infinity of the Schrödinger equation via invariant manifolds ⋮ Title not available (Why is that?) ⋮ Riesz transforms associated with higher-order Schrödinger type operators ⋮ A Landesman-Lazer type result for periodic parabolic problems on $\mathbb R^N$ at resonance ⋮ Essential spectra of elliptic pseudo-differential operators ⋮ Invariance of the $L_p$ spectrum for hypoelliptic operators ⋮ Periodic solutions for nonresonant parabolic equations on $\mathbb{R}^N$ with Kato-Rellich type potentials ⋮ Compact embedding results of Sobolev spaces and existence of positive solutions to quasilinear equations ⋮ The essential pseudo-spectra of a sequence of linear operators ⋮ Oscillatory integrals and $L^p$ estimates for Schrödinger equations ⋮ Inverse scattering for the nonlinear Schrödinger equation II. Reconstruction of the potential and the nonlinearity in the multidimensional case ⋮ Spectra of pseudo-differential operators on the Schwartz space ⋮ Global solutions of nonlinear Schrödinger equations ⋮ Generalized Potentials and Obstacle Scattering ⋮ Gaussian bounds for higher-order elliptic differential operators with Kato type potentials ⋮ Some properties of block-radial functions and Schrödinger type operators with block-radial potentials ⋮ Multiple solutions of some semilinear elliptic equations in slender cylindrical domains ⋮ Multidimensional inverse scattering for the nonlinear Klein-Gordon equation with a potential ⋮ Schrödinger semigroups ⋮ Weak Spectral Theory ⋮ The existence of multiple periodic solutions of nonautonomous delay differential equations ⋮ Imbedding estimates involving new norms and applications ⋮ Stability of the inverse conductivity problem in the plane for less regular conductivities ⋮ Spectral theory of some degenerate elliptic operators with local singularities ⋮ The spectrum of the sub-Laplacian on the Heisenberg group ⋮ Ellipticity of Fredholm Pseudo-Differential Operators on L p (ℝ n ) ⋮ Higher-order Fefferman-Poincaré type inequalities and applications ⋮ A Potential Theoretic Inequality ⋮ Weighted periodic and discrete pseudo-differential operators ⋮ Weighted Norm Estimates for Sobolev Spaces ⋮ Some description of essential structured approximate and defect pseudospectrum ⋮ Davies’ method for heat-kernel estimates: An extension to the semi-elliptic setting ⋮ Decay estimates for higher-order elliptic operators ⋮ Title not available (Why is that?) ⋮ The mountain pass alternative ⋮ Eigenvalues Below the Essential Spectra of Singular Elliptic Operators ⋮ $L^p-L^q$ estimates for dispersive equations and related applications ⋮ Fractional evolution equations governed by coercive differential operators ⋮ Instability of solitons–revisited, II: The supercritical Zakharov-Kuznetsov equation ⋮ Weighted Norm Inequalities for Potential Operators ⋮ Instability of the soliton for the focusing, mass-critical generalized KdV equation ⋮ An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators ⋮ The spectral bound and principal eigenvalues of Schrödinger operators on Riemannian manifolds ⋮ A characterization of the essential approximation pseudospectrum on a Banach space ⋮ The electric Aharonov-Bohm effect ⋮ The essential approximate pseudospectrum and related results ⋮ The virial theorem for a class of singular pseudo-differential operators on ${\mathbb {R}}^n$ ⋮ NWO sequences, weighted potential operators, and Schrödinger eigenvalues ⋮ The representation of fractional powers of coercive differential operators

This page was built for publication:

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3746171)