\(\mathcal H^s\) solutions for nonlinear Schrödinger equations with potentials superquadratic at infinity

DOI10.1016/j.physleta.2006.03.036zbMath1160.35537OpenAlexW2131727416MaRDI QIDQ1017248

Kenji Yajima, Guoping Zhang, Feng-Shan Liu

Publication date: 18 May 2009

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.03.036

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

Existence of breather solutions of the DNLS equations with unbounded potentials ⋮ Standing wave solutions of the discrete non-linear Schrödinger equations with unbounded potentials, II ⋮ Breather solutions of the discrete nonlinear Schrödinger equations with unbounded potentials ⋮ Breather solutions of the discrete nonlinear Schrödinger equations with sign changing nonlinearity

Cites Work

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• Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations
• Remarks on convergence of the Feynman path integrals
• Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity
• The weyl calculus of pseudo-differential operators
• Smoothing property for Schrödinger equations with potential superquadratic at infinity.

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