CRITICAL OSTROVSKIY-TYPE EQUATION ON A HALF-LINE

被引：0

作者：

Kaikna, Elena I. ^{[1
]}

机构：

[1] UNAM, Inst Matemat, Morelia 58089, Michoacan, Mexico

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2009年 / 22卷 / 1-2期

关键词：

LARGE TIME BEHAVIOR; SEMILINEAR PARABOLIC EQUATION; VISCOUS CONSERVATION-LAWS; BURGERS-EQUATION; CRITICAL EXPONENTS; KDV EQUATION; WAVES; ASYMPTOTICS; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial-boundary-value problem for the Ostrovskiy type equation on a half-line. We study traditionally important problems of a theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary-value problem and the asymptotic behavior of solutions for large time in the critical case, when the time decay of the nonlinearity has the same rate as that of the linear part of the equation.

引用

页码：69 / 98

页数：30

共 34 条

[1] [Anonymous], 1969, QUELQUES METHODES RE
[2] [Anonymous], 2006, Lecture Notes in Mathematics
[3] [Anonymous], CHEM OSCILLATIONS WA
[4] Gakhov FD., 1966, BOUND VALUE PROBL
[5] MODIFIED WAVE-OPERATORS FOR THE DERIVATIVE NONLINEAR SCHRODINGER-EQUATION
HAYASHI, N
OZAWA, T
[J]. MATHEMATISCHE ANNALEN, 1994, 298 (03) : 557 - 576
[6] ON SOLUTIONS OF THE INITIAL-VALUE PROBLEM FOR THE NONLINEAR SCHRODINGER-EQUATIONS
HAYASHI, N
NAKAMITSU, K
TSUTSUMI, M
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1987, 71 (02) : 218 - 245
[7] Hayashi N., 2004, N HOLLAND MATH STUDI, V194
[8] HURWITZ A, 1964, VORLESUNGEN ALLGEMEI
[9] Ilin A.M., 1960, Mat. Sb. (N.S.), V51, P191
[10] Kaikina E. I., 2007, J MATH PHYS, V48, P1341

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