Limiting absorption principle on L p-spaces and scattering theory
From MaRDI portal
Publication:5141042
DOI10.1063/5.0011805zbMath1454.81087arXiv1904.00505OpenAlexW2950465289MaRDI QIDQ5141042
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.00505
Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Fractional partial differential equations (35R11) Operators arising in mathematical physics (47B93)
Related Items
Counterexample to the Laptev-Safronov conjecture ⋮ Uniform resolvent estimates for the discrete Schrödinger operator in dimension three ⋮ Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications ⋮ On essential-selfadjointness of differential operators on closed manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniform Sobolev inequalities for second order non-elliptic differential operators
- Inverse problems, trace formulae for discrete Schrödinger operators
- Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials
- Endpoint resolvent estimates for compact Riemannian manifolds
- Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice
- Agmon-Kato-Kuroda theorems for a large class of perturbations
- Carleman estimates and absence of embedded eigenvalues
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- Absence of singular continuous spectrum for certain self-adjoint operators
- On the absence of positive eigenvalues of Schrödinger operators with rough potentials
- Non trivial \(L^q\) solutions to the Ginzburg-Landau equation
- Classes of singular integral operators along variable lines
- Remarks on \(L^{p}\)-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems
- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
- Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications
- Weighted estimates for the Laplacian on the cubic lattice
- Extensions of the Stein-Tomas theorem
- Eigenvalue estimates for bilayer graphene
- The abstract theory of scattering
- Oscillatory integrals and multipliers on FL\(^p\)
- Classical Fourier Analysis
- SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT
- Uniform bounds of discrete Birman–Schwinger operators
- Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations
- A restriction theorem for the Fourier transform
