Asymptotic lower bounds for a class of Schrödinger equations

DOI10.1007/s00220-008-0432-6zbMath1155.35098arXiv0712.3648OpenAlexW3106460596MaRDI QIDQ2517917

Nicola Visciglia, Luis Vega

Publication date: 12 January 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3648

zbMATH Keywords

asymptotic behaviourwave operators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

The Kato smoothing effect for regularized Schrödinger equations in exterior domains ⋮ On the equipartition of energy for the critical \(NLW\) ⋮ On the asymptotic behavior of high order moments for a family of Schrödinger equations ⋮ Weak Dispersive Estimates for Schrödinger Equations with Long Range Potentials

Cites Work

• Regularity of solutions to the Schrödinger equation
• Absence of singular continuous spectrum for certain self-adjoint operators
• Best constants in some operator smoothness estimates
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Decay and scattering of solutions of a nonlinear Schrödinger equation
• Decay and regularity for the Schrödinger equation
• Some dispersive estimates for Schrödinger equations with repulsive potentials
• On the local smoothing for the Schrödinger equation
• Schrodinger Equations: Pointwise Convergence to the Initial Data
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT
• On the local smoothing for a class of conformally invariant Schrodinger equations
• Time decay for the nonlinear Klein-Gordon equation
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