The Cauchy problem for the generalized IMBq equation in Ws.p (Rn)

被引:68
作者
Wang, SB [1 ]
Chen, GW [1 ]
机构
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
基金
中国国家自然科学基金;
关键词
IMBq equation; Cauchy problem; existence of global solution; nonexistence of global solution;
D O I
10.1006/jmaa.2001.7670
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the existence and the uniqueness of the global strong solution and the global classical solution for the Cauchy problem of the multidimensional generalized IMBq equation are proved. The nonexistence of the global solution for the Cauchy problem of the generalized IMBq equation is discussed. (C) 2002 Elsevier Science.
引用
收藏
页码:38 / 54
页数:17
相关论文
共 20 条
[1]   GLOBAL EXISTENCE OF SMOOTH SOLUTIONS AND STABILITY OF SOLITARY WAVES FOR A GENERALIZED BOUSSINESQ EQUATION [J].
BONA, JL ;
SACHS, RL .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 118 (01) :15-29
[2]  
BOUSSINESQ MJ, 1877, ESSAI THEORIE EAUX C, V23, P1
[3]  
CHEN G, 1998, P C NONL PART DIFF E
[4]  
Chen GW, 1999, NONLINEAR ANAL-THEOR, V36, P961
[5]   Cauchy problem for generalized IMBq equation with several variables [J].
Chen, GW ;
Xing, JS ;
Yang, ZJ .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (07) :1255-1270
[6]  
CLARKSON PA, 1986, STUD APPL MATH, V75, P95
[7]  
Donoghue William F., 1969, Distributions and Fourier transforms
[8]  
Folland G.B., 1984, REAL ANAL MODERN TEC
[9]  
KANO T, 1986, OSAKA J MATH, V23, P389
[10]   GLOBAL EXISTENCE FOR NON-LINEAR WAVE-EQUATIONS [J].
KLAINERMAN, S .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (01) :43-101