Art
J-GLOBAL ID：200902270357350300
Reference number：07A0006501
The Existence of Global Solutions to Systems of Quasilinear Wave Equations with Quadratic Nonlinearities in 2-Dimensional Space
2次元空間中の2次の非線形性をもつ準線形波動方程式の系の大域解の存在
Author (1)：
Material：
Volume：
49
Issue：
3
Page：
357-384
Publication year：
Dec. 2006
JST Material Number：
L4931A
ISSN：
0532-8721
Document type：
Article
Article type：
原著論文
Country of issue：
Japan (JPN)
Language：
ENGLISH (EN)
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JST classification (1)：
JST classification
Category name(code) classified by JST.
Mathematical physics
Reference (16)：
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[1] Alinhac, S., Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions II, Acta Mat., 182 (1999), 1-23.
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[2] Alinhac, S., The null condition for quasilinear wave equations in two space dimensions I, Invent. Math., 145 (2001), 597-618.
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[3] Alinhac, S., The null condition for quasilinear wave equations in two space dimensions II, Amer. J. Math., 123 (2001), 1071-1101.
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[4] Glassey, R. T., Existence in the large for □u = F(u) in two space dimensions, Math. Z., 178 (1981), 233-261.
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[5] Godin, P., Lifespan of solutions of semilinear wave equations in two space dimensions, Comm. in P. D. E., 18 (1993), 895-916.
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