Some remarks on the Schrödinger equation with a potential in \(L^r_t L^s_x\)
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Publication:2571041
DOI10.1007/s00208-005-0672-0zbMath1082.35038arXivmath/0501125OpenAlexW2021664814MaRDI QIDQ2571041
Vittoria Pierfelice, Nicola Visciglia, Piero D'Ancona
Publication date: 2 November 2005
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0501125
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40)
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Cites Work
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- Dispersive estimates for Schrödinger operators in dimensions one and three
- Existence of solutions for Schrödinger evolution equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Exponential sums and nonlinear Schrödinger equations
- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
- Generalized Strichartz inequalities for the wave equation
- Decay estimates for Schrödinger operators
- Endpoint Strichartz estimates
- Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
- Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
- Evolution of a model quantum system under time periodic forcing: conditions for complete ionization
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