Semilinear Hamiltonian Schrödinger systems

DOI10.1504/IJDSDE.2011.042938zbMath1234.35245OpenAlexW2085060274MaRDI QIDQ411303

Eugenio Montefusco, Luca Fanelli, Sandra Lucente

Publication date: 4 April 2012

Published in: International Journal of Dynamical Systems and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijdsde.2011.042938

zbMATH Keywords

local existenceHamiltonian systemsglobal existenceblow-up solutionenergy conservationNLSsemilinear Schrödinger systems

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Blow-up in context of PDEs (35B44) Quasilinear elliptic equations (35J62)

Related Items (3)

Global existence for a coupled system of Schrödinger equations with power-type nonlinearities ⋮ A functional inequality associated to a Gagliardo-Nirenberg type quotient ⋮ \(H^1\)-scattering for systems of \(N\)-defocusing weakly coupled NLS equations in low space dimensions

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