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

被引：17
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.
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页数：21
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