Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part

被引：16

作者：

Chen, Wenhui ^{[1
]}

Palmieri, Alessandro ^{[2
]}

机构：

[1] Tech Univ Bergakad Freiberg, Fac Math & Comp Sci, Inst Appl Anal, Pruferstr 9, D-09596 Freiberg, Germany

[2] Univ Pisa, Dept Math, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 02期

关键词：

Semilinear weakly coupled system; Blow-up; Global in time existence; Scale-invariant lower-order terms; Critical curve; TIME BLOW-UP; GLOBAL EXISTENCE; CRITICAL EXPONENT; LIFE-SPAN; ELEMENTARY PROOF; NONEXISTENCE; MASS;

D O I：

10.1007/s00033-019-1112-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we determine the critical exponent for a weakly coupled system of semilinear wave equations with distinct scale-invariant lower-order terms, when these terms make both equations in some sense parabolic-like. For the blow-up result, the test functions method is applied, while for the global existence (in time) results, we use L2-L2 estimates with additional L1 regularity.

引用

页数：21

共 64 条

[21] An elementary proof of the blow-up for semilinear wave equation in high space dimensions [J].