This paper focuses on a class of generalized nonlinear wave equations with doubly dispersive over equation whole lines. By employing the potential well theory, we classify the initial profile such that the solution blows up or globally exists.
Citation: Yue Pang, Xiaotong Qiu, Runzhang Xu, Yanbing Yang. The Cauchy problem for general nonlinear wave equations with doubly dispersive[J]. Communications in Analysis and Mechanics, 2024, 16(2): 416-430. doi: 10.3934/cam.2024019
This paper focuses on a class of generalized nonlinear wave equations with doubly dispersive over equation whole lines. By employing the potential well theory, we classify the initial profile such that the solution blows up or globally exists.
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Yue Pang, Xiaotong Qiu, Runzhang Xu, Yanbing Yang. The Cauchy problem for general nonlinear wave equations with doubly dispersive[J]. Communications in Analysis and Mechanics, 2024, 16(2): 416-430. doi: 10.3934/cam.2024019
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