Schrödinger operators and unique continuation. Towards an optimal result
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Publication:961498
DOI10.1016/j.jfa.2009.09.019zbMath1187.35296arXiv0902.0423OpenAlexW2963671300MaRDI QIDQ961498
Leonid Shartser, Damir Kinzebulatov
Publication date: 31 March 2010
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.0423
General topics in linear spectral theory for PDEs (35P05) Partial differential inequalities and systems of partial differential inequalities (35R45) Scattering theory for PDEs (35P25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60)
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Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem. II: The Pauli Hamiltonian ⋮ Schrödinger operators and unique continuation. Towards an optimal result
Cites Work
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- Unique continuation for Schrödinger operators in dimension three or less
- Schrödinger operators and unique continuation. Towards an optimal result
- \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation
- The trace inequality and eigenvalue estimates for Schrödinger operators
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Unique continuation for Schrödinger operators with unbounded potentials
- \(L^ p-\)inequalities for the Laplacian and unique continuation
- Unique continuation for Schrödinger operators with potential in Morrey spaces
- Unique continuation for \(|\Delta u| \leq V|\nabla u|\) and related problems
- Notes on some inequalities for linear operators
- Sharp counterexamples in unique continuation for second order elliptic equations
- The uncertainty principle
- Growth properties of solutions of the reduced wave equation with a variable coefficient
- Unique Continuation for Δ+ υ and the C. Fefferman-Phong Class
- Schrödinger operators with l l/2w(Rl) -potentials
