Bounds on the non-real spectrum of differential operators with indefinite weights

DOI10.1007/s00208-013-0904-7zbMath1281.47024arXiv1204.1112OpenAlexW2097616176MaRDI QIDQ368634

Jussi Behrndt, Friedrich Philipp, Carsten Trunk

Publication date: 23 September 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1112

zbMATH Keywords

Krein spaceSturm-Liouville operatorsindefinite weightselliptic partial differential operatorsnon-real spectrum

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Linear operators on spaces with an indefinite metric (47B50) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (22)

Non-symmetric perturbations of self-adjoint operators ⋮ The inverse spectral problem for indefinite strings ⋮ Eigenvalues of Schrödinger operators with definite and indefinite weights ⋮ Bounds on real and imaginary parts of non-real eigenvalues of a non-definite Sturm-Liouville problem ⋮ Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Estimates on the lower bound of the eigenvalue of the smallest modulus associated with a general weighted Sturm-Liouville problem ⋮ Spectral bounds for singular indefinite Sturm-Liouville operators with 𝐿¹-potentials ⋮ Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications ⋮ Bounds of non-real eigenvalues for indefinite \(p\)-Laplacian problems ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ Sharp spectral bounds for complex perturbations of the indefinite Laplacian ⋮ A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems ⋮ Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials ⋮ Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients ⋮ The upper and lower bounds on non-real eigenvalues of indefinite Sturm-Liouville problems ⋮ Unnamed Item ⋮ A priori bounds and existence of non-real eigenvalues for singular indefinite Sturm–Liouville problems with limit-circle type endpoints ⋮ Spectral enclosures for a class of block operator matrices ⋮ Periodic Indefinite Sturm-Liouville Problems With One Turning Point ⋮ Non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems ⋮ Relatively bounded perturbations of \(J\)-non-negative operators ⋮ Bounds on the non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems with coupled boundary conditions

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