GLOBAL EXISTENCE OF SMALL RADIALLY SYMMETRICAL SOLUTIONS TO QUADRATIC NONLINEAR EVOLUTION-EQUATIONS IN AN EXTERIOR DOMAIN

被引：12
作者：
HAYASHI, N
机构：
[1] Department of Mathematics, Faculty of Engineering, Gunma University, Kiryu
来源：
MATHEMATISCHE ZEITSCHRIFT | 1994年 / 215卷 / 02期
关键词：
D O I：
10.1007/BF02571716
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：281 / 319
页数：39
相关论文
共 16 条
[1]  
CHEN YM, 1989, J LOND MATH SOC, V40, P519
[2]  
CHEN YM, 1985, ACTA MATH APPL SIN, V2, P191
[3]   LONG-TIME BEHAVIOR OF SOLUTIONS TO SOME NONLINEAR ROTATION INVARIANT MIXED PROBLEMS [J].
GODIN, P .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1989, 14 (03) :299-374
[4]  
HAYASHI N, 1989, ANN I H POINCARE-PHY, V50, P83
[5]   GLOBAL EXISTENCE OF SMALL SOLUTIONS TO QUADRATIC NONLINEAR SCHRODINGER-EQUATIONS [J].
HAYASHI, N .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1993, 18 (7-8) :1109-1124
[6]  
HAYASHI N, 1989, ANN I H POINCARE-PHY, V50, P71
[7]  
KATO T, 1987, DIFFERENTIAL EQUATIO, V85
[8]   UNIFORM DECAY-ESTIMATES AND THE LORENTZ INVARIANCE OF THE CLASSICAL WAVE-EQUATION [J].
KLAINERMAN, S .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (03) :321-332
[9]   SINGULARITIES AND ENERGY DECAY IN ACOUSTICAL SCATTERING [J].
MELROSE, RB .
DUKE MATHEMATICAL JOURNAL, 1979, 46 (01) :43-59
[10]   ON A GLOBAL EXISTENCE THEOREM OF SMALL AMPLITUDE SOLUTIONS FOR NONLINEAR-WAVE EQUATIONS IN AN EXTERIOR DOMAIN [J].
SHIBATA, Y ;
TSUTSUMI, Y .
MATHEMATISCHE ZEITSCHRIFT, 1986, 191 (02) :165-199
12