Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity

Khuddush Mahammad; Prasad K. Rajendra; Bharathi B.

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Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity

机译：Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity

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Abstract In this paper we study the initial boundary value problem of a semilinear Klein-Gordon equation with the multiplication of logarithmic and polynomial nonlinearities. By using potential well method and energy method, we obtain the existence of global solutions and finite-time blowup solutions.

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《Annali Dell Universita di Ferrara, Sezione VII. Scienze Matematiche》 |2022年第1期|187-201|共15页
作者
Khuddush Mahammad; Prasad K. Rajendra; Bharathi B.;
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作者单位

Dr. Lankapalli Bullayya College;

Andhra University;

College of Engineering for Women;

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原文格式 PDF
正文语种英语
中图分类数学;
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Global existence; Klein-Gordan equation; Blowup; Logarithmic nonlinearity; Potential well; 35L05; 35L10; 35B40;

Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity

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