The linear profile decomposition for the fourth order Schrödinger equation

DOI10.1016/j.jde.2010.06.014zbMath1203.35263arXiv0911.0719OpenAlexW2963774460MaRDI QIDQ712179

Benoit Pausader, Jin-Cheng Jiang, Shuanglin Shao

Publication date: 28 October 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0719

zbMATH Keywords

profile decompositionNLSextremal

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (10)

Extremizers for the Airy-Strichartz inequality ⋮ Unconditional uniqueness of solution for \(\dot{H}^{s_c}\) critical 4th order NLS in high dimensions ⋮ On extremizers for Strichartz estimates for higher order Schrödinger equations ⋮ Some recent progress on sharp Fourier restriction theory ⋮ Extremals for \(\alpha\)-Strichartz inequalities ⋮ A refinement of the Strichartz inequality for the wave equation with applications ⋮ Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions ⋮ THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS ⋮ Scattering for the focusingL²-supercritical andḢ²-subcritical biharmonic NLS equations ⋮ Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations

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