Sobolev spaces for singular perturbation of 2D Laplace operator
DOI10.1016/J.NA.2024.113710MaRDI QIDQ6650563
Could not fetch data.
Publication date: 9 December 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functional calculus for linear operators (47A60) Perturbation theories for operators and differential equations in quantum theory (81Q15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Perturbation and interpolation theorems for the \(H^\infty\)-calculus with applications to differential operators
- Morrey and Campanato meet Besov, Lizorkin and Triebel
- Geometric theory of semilinear parabolic equations
- Essential self-adjointness of Schrödinger operators with singular potentials
- On fractional powers of singular perturbations of the Laplacian
- \(L^p\)-boundedness of wave operators for the three-dimensional multi-centre point interaction
- Fundamental solution of the heat and Schrödinger equations with point interaction
- On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction
- Ground states for the planar NLSE with a point defect as minimizers of the constrained energy
- Well posedness of the nonlinear Schrödinger equation with isolated singularities
- Fractional powers of operators. II: Interpolation spaces
- Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential
- Derivation of the time-dependent propagator for the three-dimensional Schrodinger equation with one point interaction
- One-Parameter Semigroups for Linear Evolution Equations
- Singular Hartree equation in fractional perturbed Sobolev spaces
- Fractional powers and singular perturbations of quantum differential Hamiltonians
- Dispersive Estimates for Schrödinger Operators with Point Interactions in ℝ3
- Erratum: Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators
- Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators
- Dispersive estimate for the Schrödinger equation with point interactions
- Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect
- Fractional powers of operators
- Mini-workshop: Zero-range and point-like singular perturbations: for a spillover to analysis, PDE and differential geometry. Abstracts from the mini-workshop held October 2--8, 2022
- Standing waves and global well-posedness for the 2d Hartree equation with a point interaction
- Schrödinger flow's dispersive estimates in a regime of re-scaled potentials
This page was built for publication: Sobolev spaces for singular perturbation of 2D Laplace operator
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6650563)
