Unique continuation for the Schrödinger equation with gradient vector potentials
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Publication:3432776
DOI10.1090/S0002-9939-07-08813-2zbMath1119.35083arXivmath/0603443OpenAlexW2002514482MaRDI QIDQ3432776
Wolfgang Staubach, Hongjie Dong
Publication date: 18 April 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603443
NLS equations (nonlinear Schrödinger equations) (35Q55) Continuation and prolongation of solutions to PDEs (35B60)
Related Items (6)
The sharp Hardy uncertainty principle for Schrödinger evolutions ⋮ On unique continuation for the generalized Schrödinger equations ⋮ Unique continuation for the Schrödinger equation with gradient term ⋮ Uniqueness properties of solutions to Schrödinger equations ⋮ Hardy uncertainty principle, convexity and parabolic evolutions ⋮ Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions
Cites Work
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- \(L^p\) Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations
- Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves
- The Cauchy problem for quasi-linear Schrödinger equations
- On uniqueness properties of solutions of the \(k\)-generalized KdV equations
- Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations
- Uniqueness properties of solutions of Schrödinger equations
- On unique continuation for nonlinear Schrödinger equations
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