NONLINEAR PSEUDODIFFERENTIAL EQUATIONS ON A HALF-LINE WITH LARGE INITIAL DATA

被引：0
|
作者：
Cardiel, Rosa E. [1 ]
Kaikina, Elena I. [2 ]
机构：
[1] Inst Matemat UNAM, Cuernavaca, Morelos, Mexico
[2] Inst Matemat, Cuernavaca 58089, Morelos, Mexico
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the initial- boundary value problem for nonlinear pseudodifferential equations, on a half- line, ut + | u| u + Lu = 0, ( x, t) 2 R+ x R+, u( x, 0) = u0( x), x 2 R+, where > 0 and pseudodifferential operator L is defined by the inverse Laplace transform. The aim of this paper is to prove the global existence of solutions and to find the main term of the asymptotic representation in the case of the large initial data.
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页数：16
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