Construction of two-bubble solutions for the energy-critical NLS

DOI10.2140/apde.2017.10.1923zbMath1375.35492arXiv1610.01093OpenAlexW2528759107MaRDI QIDQ2402622

Jacek Jendrej

Publication date: 12 September 2017

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01093

zbMATH Keywords

nonlinear Schrödinger equationmultisolitonenergy-critical

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (17)

On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability ⋮ An asymptotic expansion of two-bubble wave maps in high equivariance classes ⋮ Two-bubble dynamics for threshold solutions to the wave maps equation ⋮ Bubble towers in the ancient solution of energy-critical heat equation ⋮ Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5 ⋮ Uniqueness of <scp>Two‐Bubble</scp> Wave Maps in High Equivariance Classes ⋮ Blow-up solutions forL²supercritical gKdV equations with exactlykblow-up points ⋮ Soliton resolution for the energy-critical nonlinear wave equation in the radial case ⋮ Multi‐bubble blowup of focusing energy‐critical wave equation in dimension 6 ⋮ Global dynamics around 2-solitons for the nonlinear damped Klein-Gordon equations ⋮ Formation of singularities in nonlinear dispersive PDEs ⋮ Existence of multi-solitary waves with logarithmic relative distances for the NLS equation ⋮ Unnamed Item ⋮ Strongly interacting kink-antikink pairs for the scalar field equation in dimension \(1+1\) ⋮ Threshold dynamics for corotational wave maps ⋮ Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line ⋮ On uniqueness of multi-bubble blow-up solutions and multi-solitons to \(L^2\)-critical nonlinear Schrödinger equations

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