Necessary and sufficient conditions for the solvability of the Neumann and the regularity problems in \(L^p\) of some Schrödinger equations on Lipschitz domains
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Publication:1787162
DOI10.1007/s11118-017-9666-2zbMath1400.35083OpenAlexW2769684161MaRDI QIDQ1787162
Publication date: 4 October 2018
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-017-9666-2
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10)
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Cites Work
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- The regularity problems with data in Hardy-Sobolev spaces for singular Schrödinger equation in Lipschitz domains
- Multi-layer potentials and boundary problems for higher-order elliptic systems in Lipschitz domains
- Global boundedness of the gradient for a class of Schrödinger equations
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- The Neumann problem in \(L^p\) on Lipschitz and convex domains
- Boundary value problems for the Laplacian in convex and semiconvex domains
- The Neumann problem and Helmholtz decomposition in convex domains
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
- Weighted Hardy spaces
- Potential techniques for boundary value problems on \(C^1\)-domains
- A geometric approach to the Calderón-Zygmund estimates
- Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- The \(L^p\) regularity problem for the Stokes system on Lipschitz domains
- Necessary and sufficient conditions for the solvability of the \(L^p\) Dirichlet problem on Lipschitz domains
- The \(L^{p}\) boundary value problems on Lipschitz domains
- Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- The Neumann problem of Laplace's equation in semiconvex domains
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- The Neumann problem on Lipschitz domains
- Gradient estimates via rearrangements for solutions of some Schrödinger equations
- Weighted estimates in 𝐿² for Laplace’s equation on Lipschitz domains
- On the Neumann Problem for the Schrödinger Equations with Singular Potentials in Lipschitz Domains
- Classical Fourier Analysis
- Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
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