Global smoothing properties of generalized Schrödinger equations
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Publication:1283058
DOI10.1007/BF02786935zbMath0928.35138MaRDI QIDQ1283058
Publication date: 2 November 1999
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with quantum mechanics (35Q40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Small solutions to nonlinear Schrödinger equations
- Commutator methods and a smoothing property of the Schrödinger evolution group
- Local smoothing and convergence properties of Schrödinger type equations
- Weighted Hardy spaces
- Asymptotic behavior at infinity for Green's functions of first order systems with characteristics of nonuniform multiplicity
- A resolvent estimate and a smoothing property of inhomogeneous Schrödinger equations
- On the estimates for Helmholtz operator
- Decay and regularity for the Schrödinger equation
- On weighted \(L^2\) estimates of solutions to wave equations
- Local regularity of solutions to wave equations with time-dependent potentials
- Local Smoothing Properties of Dispersive Equations
- SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT