Characterization of the Ground State to the Intercritical NLS with a Linear Potential by the Virial Functional

DOI10.1007/978-3-030-58215-9_12zbMath1479.35791OpenAlexW3095915114MaRDI QIDQ5011325

Masahiro Ikeda, Masaru Hamano

Publication date: 27 August 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-58215-9_12

zbMATH Keywords

nonlinear Schrödinger equationground statelinear potentialvirial functional.

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Equivalence of conditions on initial data below the ground state to NLS with a repulsive inverse power potential, Scattering solutions to nonlinear Schrödinger equation with a long range potential, Stability and instability of radial standing waves to NLKG equation with an inverse-square potential

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