Refined regularity for the blow-up set at non characteristic points for the vector-valued semilinear wave equation

Asma Azaiez;

doi:10.3934/cpaa.2019108

Refined regularity for the blow-up set at non characteristic points for the vector-valued semilinear wave equation

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2019108 ◽

2019 ◽

Vol 18 (5) ◽

pp. 2397-2408

Author(s):

Asma Azaiez ◽

Keyword(s):

Wave Equation ◽

Blow Up ◽

Semilinear Wave Equation ◽

Characteristic Points ◽

Vector Valued

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

American Journal of Mathematics ◽

10.1353/ajm.2012.0021 ◽

2012 ◽

Vol 134 (3) ◽

pp. 581-648 ◽

Cited By ~ 26

Author(s):

Frank Merle ◽

Hatem Zaag

Keyword(s):

Wave Equation ◽

Space Dimension ◽

Blow Up ◽

Semilinear Wave Equation ◽

Characteristic Points ◽

One Space Dimension

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A modulation technique for the blow-up profile of the vector-valued semilinear wave equation

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2017.04.001 ◽

2017 ◽

Vol 141 (4) ◽

pp. 312-352

Author(s):

Asma Azaiez ◽

Hatem Zaag

Keyword(s):

Wave Equation ◽

Blow Up ◽

Semilinear Wave Equation ◽

Modulation Technique ◽

Vector Valued

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𝒞1,αRegularity of the Blow-Up Curve at Non Characteristic Points for the One Dimensional Semilinear Wave Equation

Communications in Partial Differential Equations ◽

10.1080/03605300802234937 ◽

2008 ◽

Vol 33 (8) ◽

pp. 1540-1548 ◽

Cited By ~ 2

Author(s):

Nejla Nouaili

Keyword(s):

Wave Equation ◽

Blow Up ◽

One Dimensional ◽

Semilinear Wave Equation ◽

Characteristic Points ◽

The One

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Openness of the Set of Non-characteristic Points and Regularity of the Blow-up Curve for the 1 D Semilinear Wave Equation

Communications in Mathematical Physics ◽

10.1007/s00220-008-0532-3 ◽

2008 ◽

Vol 282 (1) ◽

pp. 55-86 ◽

Cited By ~ 27

Author(s):

Frank Merle ◽

Hatem Zaag

Keyword(s):

Wave Equation ◽

Blow Up ◽

Semilinear Wave Equation ◽

Characteristic Points

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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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On similarity solutions and blow-up spectra for a semilinear wave equation

Quarterly of Applied Mathematics ◽

10.1090/qam/1999839 ◽

2003 ◽

Vol 61 (3) ◽

pp. 583-600 ◽

Cited By ~ 13

Author(s):

V. A. Galaktionov ◽

S. I. Pohozaev

Keyword(s):

Wave Equation ◽

Blow Up ◽

Similarity Solutions ◽

Semilinear Wave Equation

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Energy decay estimates and infinite blow‐up phenomena for a strongly damped semilinear wave equation with logarithmic nonlinear source

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4766 ◽

2018 ◽

Vol 41 (7) ◽

pp. 2639-2653 ◽

Cited By ~ 1

Author(s):

Lingwei Ma ◽

Zhong Bo Fang

Keyword(s):

Wave Equation ◽

Blow Up ◽

Energy Decay ◽

Decay Estimates ◽

Nonlinear Source ◽

Semilinear Wave Equation ◽

Strongly Damped

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Blow-up of solutions to the one-dimensional semilinear wave equation with damping depending on time and space variables

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.3831 ◽

2014 ◽

Vol 34 (9) ◽

pp. 3831-3846 ◽

Cited By ~ 3

Author(s):

Yuta Wakasugi ◽

Keyword(s):

Wave Equation ◽

Blow Up ◽

Time And Space ◽

One Dimensional ◽

Semilinear Wave Equation ◽

The One

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Determination of the blow-up rate for the semilinear wave equation

American Journal of Mathematics ◽

10.1353/ajm.2003.0033 ◽

2003 ◽

Vol 125 (5) ◽

pp. 1147-1164 ◽

Cited By ~ 45

Author(s):

Frank Merle ◽

Hatem Zaag

Keyword(s):

Wave Equation ◽

Blow Up ◽

Semilinear Wave Equation ◽

Blow Up Rate

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Finite time blow up to critical semilinear wave equation outside the ball in 3-D

Nonlinear Analysis ◽

10.1016/j.na.2015.06.007 ◽

2015 ◽

Vol 125 ◽

pp. 550-560 ◽

Cited By ~ 7

Author(s):

Ning-An Lai ◽

Yi Zhou

Keyword(s):

Wave Equation ◽

Finite Time ◽

Blow Up ◽

Semilinear Wave Equation

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