Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data
From MaRDI portal
Publication:6639213
DOI10.1016/j.jfa.2024.110680MaRDI QIDQ6639213
Andrew J. Turner, Andrew J. Morris
Publication date: 15 November 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
boundary value problemsSchrödinger equationsholomorphic functional calculusKato square root estimates
Boundary value problems for second-order elliptic equations (35J25) Functional calculus for linear operators (47A60) Schrödinger operator, Schrödinger equation (35J10)
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?)
- 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?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- The regularity problems with data in Hardy-Sobolev spaces for singular Schrödinger equation in Lipschitz domains
- On \(L^{2}\) solvability of BVPs for elliptic systems
- Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I
- Solvability of elliptic systems with square integrable boundary data
- The Kato square root problem for divergence form operators with potential
- Quadratic estimates and functional calculi of perturbed Dirac operators
- Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems
- The \(L^p\) Dirichlet problem for second order elliptic operators and a \(p\)-adapted square function
- Real interpolation of Sobolev spaces associated to a weight
- Fundamental matrices and Green matrices for non-homogeneous elliptic systems
- Nonlocal self-improving properties: a functional analytic approach
- Necessary and sufficient conditions for the solvability of the Neumann and the regularity problems in \(L^p\) of some Schrödinger equations on Lipschitz domains
- Perturbation theory for linear operators.
- On fundamental solutions of generalized Schrödinger operators
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for magnetic Schrödinger operators. II
- On scale-invariant bounds for the Green's function for second-order elliptic equations with lower-order coefficients and applications
- Critical perturbations for second-order elliptic operators. I: Square function bounds for layer potentials
- \(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficients
- Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
- The functional calculus for sectorial operators
- The Dirichlet problem for parabolic operators with singular drift terms
- Remarks on Maximal Regularity
- The Kato square root problem on submanifolds
- Boundary value problems for degenerate elliptic equations and systems
- ON STABILITY OF SQUARE ROOT DOMAINS FOR NON‐SELF‐ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS
- On a quadratic estimate related to the Kato conjecture and boundary value problems
- Hardy-Littlewood inequality for quasiregular mappings in certain domains in R^n
- Holomorphic functional calculi of operators, quadratic estimates and interpolation
- Elliptic Partial Differential Equations of Second Order
- The square root problem of Kato in one dimension, and first order elliptic systems
- On the Neumann Problem for the Schrödinger Equations with Singular Potentials in Lipschitz Domains
- On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients
- Exponential decay estimates for fundamental solutions of Schrödinger-type operators
- Boundary value problems in Lipschitz domains for equations with lower order coefficients
- SPECTRAL MAPPING THEOREMS FOR HOLOMORPHIC FUNCTIONAL CALCULI
- THE KATO SQUARE ROOT PROBLEM FOR MIXED BOUNDARY VALUE PROBLEMS
- Green’s function for second order elliptic equations with singular lower order coefficients
- The Dirichlet problem for elliptic equations with drift terms
This page was built for publication: Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6639213)