Long time existence for the semi-linear beam equation on irrational tori of dimension two

DOI10.1088/0951-7715/29/10/3067zbMath1353.37142OpenAlexW2514437855MaRDI QIDQ2832523

Rafik Imekraz

Publication date: 11 November 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/29/10/3067

zbMATH Keywords

existence of solutionsKlein-Gordon equationnormal formsnonlinear beam equationirrational torus

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Resonance in context of PDEs (35B34)

Related Items (6)

Exponential stability estimate for the derivative nonlinear Schrödinger equation* ⋮ Almost global existence for \(d\)-dimensional beam equation with derivative nonlinear perturbation ⋮ Sub-exponential stability for the beam equation ⋮ Quasi-periodic travelling waves for beam equations with damping on 3-dimensional rectangular tori ⋮ Almost global existence for the fractional Schrödinger equations ⋮ Super-exponential stability estimate for the nonlinear Schrödinger equation

This page was built for publication: Long time existence for the semi-linear beam equation on irrational tori of dimension two