Local well-posedness and ill-posedness on the equation of type □u = uk(partial derivativeu)α

被引：9

作者：

Fang, DY ^{[1
]}

Wang, CB ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2005年 / 26卷 / 03期

关键词：

semilinear wave equation; low regularity; local well-posedness; ill-posedness;

D O I：

10.1142/S0252959905000294

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper undertakes a systematic treatment of the low regularity local well-posedness and ill-posedness theory in H-s and H-s for semilinear wave equations with polynomial nonlinearity in u and partial derivative u. This ill-posed result concerns the focusing type equations with nonlinearity on u and partial derivative(t)u.

引用

页码：361 / 378

页数：18

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