Construction of Multibubble Solutions for the Critical GKDV Equation (Q4576981)

scientific article; zbMATH DE number 6901766

Language	Label	Description	Also known as
English	Construction of Multibubble Solutions for the Critical GKDV Equation	scientific article; zbMATH DE number 6901766

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instance of

scholarly article

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title

Construction of Multibubble Solutions for the Critical GKDV Equation (English)

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SIAM Journal on Mathematical Analysis

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publication date

11 July 2018

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full work available at URL

https://arxiv.org/abs/1706.09870

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zbMATH Keywords

generalized Korteweg-de Vries equation

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blowup

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multibubble solution

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MaRDI profile type

MaRDI publication profile

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cites work

Q4434430

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Multi-Soliton Solutions for the Supercritical gKdV Equations

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Sharp asymptotics for the minimal mass blow up solution of the critical gKdV equation

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Green's function and infinite-time bubbling in the critical nonlinear heat equation

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Construction of multi-soliton solutions for the \(L^2\)-supercritical gKdV and NLS equations

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Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension

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\(\log\)-\(\log\) blow up solutions blow up at exactly \(m\) points

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Blow-up in several points for the nonlinear Schrödinger equation on a bounded domain.

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Nonexistence of two-bubbles with opposite signs for the radial energy-critical wave equation

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Construction of two-bubble solutions for some energy-critical wave equations

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Q3342896

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Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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Q4523974

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Numerical study of blow-up and dispersive shocks in solutions to generalized Korteweg-de Vries equations

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Blow-up solutions forL2supercritical gKdV equations with exactlykblow-up points

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Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations

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A Liouville theorem for the critical generalized Korteweg-de Vries equation

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Instability of solitons for the critical generalized Korteweg-de Vries equation

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Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation

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Codimension one threshold manifold for the critical gKdV equation

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Blow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the soliton

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Blow up for the critical gKdV equation. II: Minimal mass dynamics

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Blow up for the critical gKdV equation III: exotic regimes

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Stability and asymptotic stability for subcritical gKdV equations

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Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation

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Q4584313

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Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity

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Solution of a nonlinear heat equation with arbitrarily given blow-up points

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Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power

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Existence of blow-up solutions in the energy space for the critical generalized KdV equation

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Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation

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The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

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On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation

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Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension

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On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations

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Existence and stability of the log-log blow-up dynamics for the \(L^2\)-critical nonlinear Schrödinger equation in a domain

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Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS

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Nonlinear Schrödinger equations and sharp interpolation estimates

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Modulational Stability of Ground States of Nonlinear Schrödinger Equations

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Identifiers

zbMATH Open document ID

1397.35249

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DOI

10.1137/17M1140595

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4576981