Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials
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Publication:6633928
DOI10.1016/j.jfa.2024.110646MaRDI QIDQ6633928
Luca Fanelli, Lucrezia Cossetti, D. Krejčiřík
Publication date: 6 November 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
General topics in linear spectral theory for PDEs (35P05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Higher-order elliptic equations (35J30)
Cites Work
- Unnamed Item
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- Scattering in the energy space for the NLS with variable coefficients
- The forward problem for the electromagnetic Helmholtz equation with critical singularities
- Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials
- Virial identity and weak dispersion for the magnetic Dirac equation
- Location of eigenvalues of non-self-adjoint discrete Dirac operators
- From Lieb-Thirring inequalities to spectral enclosures for the damped wave equation
- Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
- Best constants in the Hardy-Rellich inequalities and related improvements
- Magnetic virial identities, weak dispersion and Strichartz inequalities
- Non-trapping magnetic fields and Morrey-Campanato estimates for Schrödinger operators
- Eigenvalue estimates for Schrödinger operators with complex potentials
- Absence of singular continuous spectrum for certain self-adjoint operators
- Eighty years of Sommerfeld's radiation condition
- Morrey-Campanato estimates for Helmholtz equations
- Die \textit{Green}sche Funktion der Schwingungsgleichung,
- Self-adjoint extensions for the Dirac operator with Coulomb-type spherically symmetric potentials
- Spectral stability of Schrödinger operators with subordinated complex potentials
- Absence of eigenvalues of two-dimensional magnetic Schrödinger operators
- Eigenvalue bounds for Schrödinger operators with complex potentials II
- Decay estimates and Strichartz estimates of fourth-order Schrödinger operator
- Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation
- A note on eigenvalue bounds for Schrödinger operators
- Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators
- Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers
- Eigenvalues of the bilayer graphene operator with a complex valued potential
- Uniform resolvent estimates and absence of eigenvalues for Lamé operators with complex potentials
- Eigenvalue bounds and spectral stability of Lamé operators with complex potentials
- Bounds on eigenvalues of perturbed Lamé operators with complex potentials
- On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances
- Spectral enclosures for non-self-adjoint discrete Schrödinger operators
- A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator
- Eigenvalue estimates for bilayer graphene
- On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances
- Eigenvalue estimates for non-selfadjoint Dirac operators on the real line
- Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
- Limiting absorption method and absolute continuity for the Schrödinger operator
- Estimates for eigenvalues of Schrödinger operators with complex-valued potentials
- Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
- The \(L^p\)-continuity of wave operators for higher order Schrödinger operators
- Decay estimates for fourth-order Schrödinger operators in dimension two
- Counterexample to the Laptev-Safronov conjecture
- A note on endpoint \(L^p\)-continuity of wave operators for classical and higher order Schrödinger operators
- Bounds on complex eigenvalues and resonances.
- Helmholtz and Dispersive Equations with Variable Coefficients on Exterior Domains
- Virial identity and dispersive estimates for the $n$-dimensional Dirac equation
- A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains
- Limiting absorption principle for the electromagnetic Helmholtz equation with singular potentials
- Absence of eigenvalues of non‐self‐adjoint Robin Laplacians on the half‐space
- Estimates for eigenvalues of the Schrödinger operator with a complex potential
- Eigenvalue bounds for Schrödinger operators with complex potentials. III
- On pointwise decay of waves
- Eigenvalue bounds for Schrödinger operators with complex potentials
- Decay estimates for higher-order elliptic operators
- The virial theorem and its application to the spectral theory of Schrödinger operators
- Time decay for the nonlinear Klein-Gordon equation
- Strichartz estimates for the wave and Schroedinger equations with potentials of critical decay
- Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions
- Counterexamples to \(L^p\) boundedness of wave operators for classical and higher order Schrödinger operators
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