Global existence and blowup of solutions to a class of wave equations with Hartree type nonlinearity

被引：2

作者：

Zhang, Hongwei ^{[1
]}

Su, Xiao ^{[1
]}

Liu, Shuo ^{[1
]}

机构：

[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China

来源：

NONLINEARITY | 2024年 / 37卷 / 06期

关键词：

wave-Hartree equation; initial boundary value problem; global existence; blow-up; KLEIN-GORDON EQUATION; SCATTERING-THEORY; WELL-POSEDNESS; HEAT-EQUATION; UP PHENOMENON; ENERGY; INSTABILITY; THRESHOLD; NONEXISTENCE;

D O I：

10.1088/1361-6544/ad3f67

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of wave-Hartree equations on a bounded smooth convex domain with Dirichlet boundary condition. We prove the local existence of solutions in the natural energy space by using the standard Gal & euml;rkin method. The results on global existence and nonexistence of solutions are obtained mainly by means of the potential well theory and concavity method.

引用

页数：15

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