Virial functional and dynamics for nonlinear Schrödinger equations of local interactions

DOI10.1007/s00030-018-0497-7zbMath1401.35044OpenAlexW2790519447MaRDI QIDQ1705178

Takafumi Akahori, Hiroaki Kikuchi, Takeshi Yamada

Publication date: 14 March 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-018-0497-7

zbMATH Keywords

stabilityscatteringSchrödinger operatorblow-upground statevirial functional

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10)

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The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications ⋮ Existence of a ground state and blowup problem for a class of nonlinear Schrödinger equations involving mass and energy critical exponents

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