LIFE-SPAN OF CLASSICAL-SOLUTIONS TO NONLINEAR-WAVE EQUATIONS IN 4-DIMENSIONS SPACES

被引：0

作者：

LI, TT ^{[1
]}

ZHOU, Y ^{[1
]}

机构：

[1] FUDAN UNIV,INST MATH,SHANGHAI 200433,PEOPLES R CHINA

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1995年 / 320卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note we prove that in prove dimensions spaces L. Hormander's estimate (T) over tilde (epsilon) greater than or equal to exp {a epsilon(-1)} can be improved in (T) over tilde (epsilon) greater than or equal to exp {a epsilon(-2)} for the lower bound of the life-span (T) over tilde (epsilon) of classical classical solutions to the Cauchy problem with small initial data for nonlinear wave equations of the form square u = F (u, Du, D-x Du) where F (<(lambda)over cap>) = O (\<(lambda)over cap>\(2)) in a neighbourhood of <(lambda)over cap> = 0.

引用

页码：41 / 44

页数：4

共 13 条

[1]

HORMANDER L, 1991, IMA VOLUMES MATH ITS, P51

[2]

Li T., 1994, NONLINEAR WORLD, V1, P35

[3]

Li T., 1993, J PARTIAL DIFFERENTI, V6, P17

[4]

LI TT, 1992, NONLINEAR ANAL-THEOR, V19, P833, DOI 10.1016/0362-546X(92)90054-I

[5] LIFE-SPAN OF CLASSICAL-SOLUTIONS TO FULLY NONLINEAR-WAVE EQUATIONS [J].

LI, TT ;

YU, X .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (6-7) :909-940

[6]

LI TT, 1994, J MATH PURE APPL, V73, P223

[7]

LI TT, 1991, CR ACAD SCI I-MATH, V312, P337

[8]

LI TT, 1991, CR ACAD SCI I-MATH, V312, P103

[9]

LI TT, 1992, CHINESE ANN MATH B, P266

[10]

Lindblad H., 1989, THESIS LUND

← 1 2 →