Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KDV equations (Q4622004)

scientific article; zbMATH DE number 7019847

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English	Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KDV equations	scientific article; zbMATH DE number 7019847

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instance of

scholarly article

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title

Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KDV equations (English)

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Indiana University Mathematics Journal

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publication date

8 February 2019

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full work available at URL

https://arxiv.org/abs/1610.06904

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zbMATH Keywords

Korteweg-de Vries equations

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finite-time blow-up solutions

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MaRDI profile type

MaRDI publication profile

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cites work

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Numerical computations of self-similar blow-up solutions of the generalized Korteweg-de Vries equation

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Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation

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Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case

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Scattering for the focusing energy-subcritical nonlinear Schrödinger equation

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Global rough solutions to the critical generalized KdV equation

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The supercritical generalized KdV equation: global well-posedness in the energy space and below

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On well-posedness and wave operator for the gKdV equation

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On the lack of compactness and existence of maximizers for some Airy-Strichartz inequalities.

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Global existence for the critical generalized KdV equation

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Global Behavior of Finite Energy Solutions to the d-Dimensional Focusing Nonlinear Schrodinger Equation

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A note on concentration for blowup solutions to supercritical Schrödinger equations

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Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation

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A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation

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Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5

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Q5253407

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

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Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions

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Q3974678

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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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On the blow up phenomenon of the critical nonlinear Schrödinger equation

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On the defect of compactness for the Strichartz estimates of the Schrödinger equations

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Full range of blow up exponents for the quintic wave equation in three dimensions

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Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation

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Introduction to nonlinear dispersive equations

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The concentration-compactness principle in the calculus of variations. The limit case. I

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The concentration-compactness principle in the calculus of variations. The limit case. II

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Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV 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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Blow up of the critical norm for some radial <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> super critical nonlinear Schr

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Type II blow up for the energy supercritical NLS

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The low regularity global solutions for the critical generalized KdV equation

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On mass concentration for the critical generalized Korteweg–de Vries equation

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The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality

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Nonlinear Schrödinger equations and sharp interpolation estimates

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Identifiers

zbMATH Open document ID

1410.35167

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DOI

10.1512/iumj.2018.67.7471

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4622004