The Existence of Global Solutions to Systems of Quasilinear Wave Equations with Quadratic Nonlinearities in 2-Dimensional Space

Funkcialaj Ekvacioj ◽

10.1619/fesi.49.357 ◽

2006 ◽

Vol 49 (3) ◽

pp. 357-384 ◽

Author(s):

Akira Hoshiga

Keyword(s):

Wave Equations ◽

Dimensional Space ◽

Global Solutions ◽

Quadratic Nonlinearities ◽

Quasilinear Wave Equations

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Asymptotic behavior of global solutions to one-dimension quasilinear wave equations

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2021.v18.n2.a1 ◽

2021 ◽

Vol 18 (2) ◽

pp. 81-100

Author(s):

Mengni Li

Keyword(s):

Asymptotic Behavior ◽

Wave Equations ◽

Global Solutions ◽

One Dimension ◽

Quasilinear Wave Equations

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GLOBAL SOLUTIONS OF QUASILINEAR WAVE EQUATIONS AND STABILITY OF MINIMAL SURFACES

Analysis ◽

10.1524/anly.1994.14.4.393 ◽

1994 ◽

Vol 14 (4) ◽

pp. 393-414

Author(s):

Ben Schweizer

Keyword(s):

Minimal Surfaces ◽

Wave Equations ◽

Global Solutions ◽

Quasilinear Wave Equations

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Global solutions of quasilinear wave equations

American Journal of Mathematics ◽

10.1353/ajm.2008.0009 ◽

2008 ◽

Vol 130 (1) ◽

pp. 115-157 ◽

Author(s):

Hans. Lindblad

Keyword(s):

Wave Equations ◽

Global Solutions ◽

Quasilinear Wave Equations

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Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities

Analysis & PDE ◽

10.2140/apde.2020.13.93 ◽

2020 ◽

Vol 13 (1) ◽

pp. 93-146 ◽

Author(s):

Jared Speck

Keyword(s):

Wave Equations ◽

Quadratic Nonlinearities ◽

Quasilinear Wave Equations

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On “almost global” solutions to quasilinear wave equations in three space dimensions

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160360304 ◽

1983 ◽

Vol 36 (3) ◽

pp. 325-344 ◽

Author(s):

S. Klainerman

Keyword(s):

Wave Equations ◽

Global Solutions ◽

Quasilinear Wave Equations ◽

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Global solutions to systems of quasilinear wave equations with low regularity data and applications

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2020.05.006 ◽

2020 ◽

Vol 142 ◽

pp. 146-183 ◽

Author(s):

Dongbing Zha ◽

Kunio Hidano

Keyword(s):

Wave Equations ◽

Global Solutions ◽

Low Regularity ◽

Quasilinear Wave Equations

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Global solutions to quasilinear wave equations in homogeneous waveguides with Neumann boundary conditions

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2012.11.547 ◽

2012 ◽

Vol 11 (2) ◽

pp. 547-556

Author(s):

Jason Metcalfe ◽

◽

Jacob Perry

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Global Solutions ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Quasilinear Wave Equations

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The existence of the global solutions to semilinear wave equations with a class of cubic nonlinearities in 2-dimensional space

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1249046363 ◽

2008 ◽

Vol 37 (4) ◽

pp. 669-688 ◽

Author(s):

Akira HOSHIGA

Keyword(s):

Wave Equations ◽

Dimensional Space ◽

Global Solutions ◽

Semilinear Wave Equations

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Global solutions for initial–boundary value problem of quasilinear wave equations

Journal of Differential Equations ◽

10.1016/j.jde.2008.02.013 ◽

2008 ◽

Vol 245 (1) ◽

pp. 223-248 ◽

Author(s):

John M. Hong ◽

Cheng-Hsiung Hsu ◽

Ying-Chin Su

Keyword(s):

Boundary Value Problem ◽

Wave Equations ◽

Boundary Value ◽

Global Solutions ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Initial Boundary Value ◽

Quasilinear Wave Equations

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Finite time blow-up and global solutions for fourth order damped wave equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.04.015 ◽

2014 ◽

Vol 418 (2) ◽

pp. 713-733 ◽

Author(s):

Yongda Wang

Keyword(s):

Fourth Order ◽

Finite Time ◽

Wave Equations ◽

Blow Up ◽

Global Solutions

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