Critical Curve for p-q Systems of Nonlinear Wave Equations in Three Space Dimensions

Rentaro Agemi; Yuki Kurokawa; Hiroyuki Takamura

doi:10.1006/jdeq.2000.3766

Critical Curve for p-q Systems of Nonlinear Wave Equations in Three Space Dimensions

Journal of Differential Equations ◽

10.1006/jdeq.2000.3766 ◽

2000 ◽

Vol 167 (1) ◽

pp. 87-133 ◽

Cited By ~ 27

Author(s):

Rentaro Agemi ◽

Yuki Kurokawa ◽

Hiroyuki Takamura

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Critical Curve ◽

Nonlinear Wave Equations ◽

Three Space

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A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.06.021 ◽

2013 ◽

Vol 37 (5) ◽

pp. 2802-2815 ◽

Cited By ~ 13

Author(s):

R.K. Mohanty ◽

Venu Gopal

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Order Approximation ◽

High Order ◽

Nonlinear Wave Equations ◽

High Order Approximation ◽

Three Space

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Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions

Journal of Differential Equations ◽

10.1016/j.jde.2013.04.003 ◽

2013 ◽

Vol 255 (1) ◽

pp. 120-150 ◽

Cited By ~ 2

Author(s):

Soichiro Katayama

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Three Space

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Upper bounds for the life span of solutions to systems of nonlinear wave equations in two and three space dimensions

Nonlinear Analysis ◽

10.1016/0362-546x(94)00155-b ◽

1995 ◽

Vol 25 (6) ◽

pp. 639-654 ◽

Cited By ~ 2

Author(s):

M.A. Rammaha

Keyword(s):

Life Span ◽

Nonlinear Wave ◽

Wave Equations ◽

Upper Bounds ◽

Nonlinear Wave Equations ◽

Three Space

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Local regularity of nonlinear wave equations in three space dimensions

Communications in Partial Differential Equations ◽

10.1080/03605309308820925 ◽

1993 ◽

Vol 18 (1-2) ◽

pp. 169-177 ◽

Cited By ~ 35

Author(s):

Gustavo Ponce ◽

Thomas C. Sideris

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Local Regularity ◽

Three Space

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GLOBAL EXISTENCE FOR A CLASS OF SYSTEMS OF NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS

Chinese Annals of Mathematics Series B ◽

10.1142/s0252959904000421 ◽

2004 ◽

Vol 25 (04) ◽

pp. 463-482 ◽

Cited By ~ 8

Author(s):

S. KATAYAMA

Keyword(s):

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Three Space

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Blow-up of solutions of nonlinear wave equations in three space dimensions

manuscripta mathematica ◽

10.1007/bf01647974 ◽

1979 ◽

Vol 28 (1-3) ◽

pp. 235-268 ◽

Cited By ~ 256

Author(s):

Fritz John

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations ◽

Three Space

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Global Existence for Nonlinear Wave Equations with Small Data of Noncompact Support in Three Space Dimensions

Communications in Partial Differential Equations ◽

10.1080/03605309208820838 ◽

1992 ◽

Vol 17 (1-2) ◽

pp. 189-204 ◽

Cited By ~ 2

Author(s):

Takamura Hiroyuki ◽

R. Agemi

Keyword(s):

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Small Data ◽

Three Space

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REMARKS ON THE LIFESPAN FOR THE SOLUTION TO NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30140-6 ◽

2003 ◽

Vol 23 (1) ◽

pp. 16-22

Author(s):

Han Yang ◽

Fagui Liu

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Three Space

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Almost global existence to nonlinear wave equations in three space dimensions

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160370403 ◽

1984 ◽

Vol 37 (4) ◽

pp. 443-455 ◽

Cited By ~ 111

Author(s):

F. John ◽

S. Klainerman

Keyword(s):

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Three Space

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Blow-Up of Solutions of Nonlinear Wave Equations in Three Space Dimensions

Fritz John ◽

10.1007/978-1-4612-5406-5_38 ◽

1985 ◽

pp. 532-565

Author(s):

Fritz John

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations ◽

Three Space

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