The null condition for quasilinear wave equations in two space dimensions I

S. Alinhac

doi:10.1007/s002220100165

The null condition for quasilinear wave equations in two space dimensions I

Inventiones mathematicae ◽

10.1007/s002220100165 ◽

2001 ◽

Vol 145 (3) ◽

pp. 597-618 ◽

Cited By ~ 75

Author(s):

S. Alinhac

Keyword(s):

Wave Equations ◽

Null Condition ◽

Two Space Dimensions ◽

Quasilinear Wave Equations

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The null condition for quasilinear wave equations in two space dimensions, II

American Journal of Mathematics ◽

10.1353/ajm.2001.0037 ◽

2001 ◽

Vol 123 (6) ◽

pp. 1071-1101 ◽

Cited By ~ 44

Author(s):

S Alinhac

Keyword(s):

Wave Equations ◽

Null Condition ◽

Two Space Dimensions ◽

Quasilinear Wave Equations

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The asymptotic behaviour of the radially symmetric solutions to quasilinear wave equations in two space dimensions

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1380892610 ◽

1995 ◽

Vol 24 (3) ◽

pp. 575-615 ◽

Cited By ~ 5

Author(s):

Akira HOSHIGA

Keyword(s):

Asymptotic Behaviour ◽

Wave Equations ◽

Two Space Dimensions ◽

Radially Symmetric Solutions ◽

Quasilinear Wave Equations

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Some remarks on quasilinear wave equations with null condition in 3-D

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3876 ◽

2016 ◽

Vol 39 (15) ◽

pp. 4484-4495 ◽

Cited By ~ 2

Author(s):

Dongbing Zha

Keyword(s):

Wave Equations ◽

Null Condition ◽

Quasilinear Wave Equations

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A note on quasilinear wave equations in two space dimensions

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016.36.2855 ◽

2015 ◽

Vol 36 (5) ◽

pp. 2855-2871 ◽

Cited By ~ 1

Author(s):

Dongbing Zha

Keyword(s):

Wave Equations ◽

Two Space Dimensions ◽

Quasilinear Wave Equations

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A note on quasilinear wave equations in two space dimensions II: Almost global existence of classical solutions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.03.011 ◽

2016 ◽

Vol 439 (1) ◽

pp. 419-435 ◽

Cited By ~ 1

Author(s):

Weimin Peng ◽

Dongbing Zha

Keyword(s):

Global Existence ◽

Wave Equations ◽

Classical Solutions ◽

Two Space Dimensions ◽

Quasilinear Wave Equations

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The asymptotic behaviour of solutions for a class of quasilinear wave equations with cubic nonlinearity in two space dimensions

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02679895 ◽

2000 ◽

Vol 16 (3) ◽

pp. 299-312 ◽

Cited By ~ 1

Author(s):

Yin Huicheng

Keyword(s):

Asymptotic Behaviour ◽

Wave Equations ◽

Cubic Nonlinearity ◽

Asymptotic Behaviour Of Solutions ◽

Two Space Dimensions ◽

Quasilinear Wave Equations

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Small data solutions of 3-D quasilinear wave equations under null condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.06.073 ◽

2018 ◽

Vol 467 (1) ◽

pp. 207-229

Author(s):

Yingbo Liu

Keyword(s):

Wave Equations ◽

Small Data ◽

Null Condition ◽

Quasilinear Wave Equations

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Global and almost global existence for general quasilinear wave equations in two space dimensions

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2018.05.009 ◽

2019 ◽

Vol 123 ◽

pp. 270-299 ◽

Cited By ~ 2

Author(s):

Dongbing Zha

Keyword(s):

Global Existence ◽

Wave Equations ◽

Two Space Dimensions ◽

Quasilinear Wave Equations

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Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions, II

Acta Mathematica ◽

10.1007/bf02392822 ◽

1999 ◽

Vol 182 (1) ◽

pp. 1-23 ◽

Cited By ~ 39

Author(s):

Serge Alinhac

Keyword(s):

Wave Equations ◽

Small Data ◽

Two Space Dimensions ◽

Quasilinear Wave Equations

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Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition

The Role of Metrics in the Theory of Partial Differential Equations ◽

10.2969/aspm/08510215 ◽

2020 ◽

Author(s):

Soichiro Katayama

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Null Condition

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