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

Thomas Duyckaerts; Carlos Kenig; Frank Merle

doi:10.4171/jems/336

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

Journal of the European Mathematical Society ◽

10.4171/jems/336 ◽

2012 ◽

Vol 14 (5) ◽

pp. 1389-1454 ◽

Cited By ~ 44

Author(s):

Thomas Duyckaerts ◽

Carlos Kenig ◽

Frank Merle

Keyword(s):

Wave Equation ◽

Blow Up ◽

Type Ii

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

Analysis & PDE ◽

10.2140/apde.2012.5.777 ◽

2012 ◽

Vol 5 (4) ◽

pp. 777-829 ◽

Cited By ~ 25

Author(s):

Matthieu Hillairet ◽

Pierre Raphaël

Keyword(s):

Wave Equation ◽

Blow Up ◽

Type Ii

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Bounds on the Speed of Type II Blow-up for the Energy Critical Wave Equation in the Radial Case

International Mathematics Research Notices ◽

10.1093/imrn/rnv365 ◽

2015 ◽

Vol 2016 (21) ◽

pp. 6656-6688 ◽

Cited By ~ 1

Author(s):

Jacek Jendrej

Keyword(s):

Wave Equation ◽

Blow Up ◽

Type Ii ◽

Radial Case

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Type II Blow up Manifolds for the Energy Supercritical Semilinear Wave Equation

Memoirs of the American Mathematical Society ◽

10.1090/memo/1205 ◽

2018 ◽

Vol 252 (1205) ◽

pp. 0-0 ◽

Cited By ~ 3

Author(s):

Charles Collot

Keyword(s):

Wave Equation ◽

Blow Up ◽

Type Ii ◽

Semilinear Wave Equation

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

Journal of the European Mathematical Society ◽

10.4171/jems/261 ◽

2011 ◽

pp. 533-599 ◽

Cited By ~ 60

Author(s):

Thomas Duyckaerts ◽

Carlos Kenig ◽

Frank Merle

Keyword(s):

Wave Equation ◽

Blow Up ◽

Type Ii

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Instability of type II blow up for the quintic nonlinear wave equation on $R^3+1$

Bulletin de la Société mathématique de France ◽

10.24033/bsmf.2690 ◽

2015 ◽

Vol 143 (2) ◽

pp. 339-355

Author(s):

Joachim Krieger ◽

Joules Nahas

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Blow Up ◽

Type Ii

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

Journal of Functional Analysis ◽

10.1016/j.jfa.2016.10.019 ◽

2017 ◽

Vol 272 (3) ◽

pp. 866-917 ◽

Cited By ~ 10

Author(s):

Jacek Jendrej

Keyword(s):

Wave Equation ◽

Blow Up ◽

Type Ii

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On stability of type II blow up for the critical nonlinear wave equation on ℝ³+1

Memoirs of the American Mathematical Society ◽

10.1090/memo/1301 ◽

2020 ◽

Vol 267 (1301) ◽

pp. 0-0

Author(s):

Joachim Krieger

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Blow Up ◽

Type Ii

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Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity

Advances in Difference Equations ◽

10.1186/s13662-020-02694-x ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Tae Gab Ha ◽

Sun-Hye Park

Keyword(s):

Wave Equation ◽

Blow Up ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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Blow-Up of Solution for A Viscoelastic Wave Equation with Delay

Acta Mathematica Scientia ◽

10.1007/s10473-019-0124-7 ◽

2019 ◽

Vol 39 (1) ◽

pp. 329-338 ◽

Cited By ~ 2

Author(s):

Shun-Tang Wu

Keyword(s):

Wave Equation ◽

Blow Up ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Equation With Delay

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Convergence of a blow-up curve for a semilinear wave equation

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2020388 ◽

2018 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Takiko Sasaki ◽

Keyword(s):

Wave Equation ◽

Blow Up ◽

Semilinear Wave Equation

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