The regularity properties and blow-up of the solutions for nonlocal general wave equations

Veli B Shakhmurov,Vural Bayrak,Rishad Shahmurov

doi:10.1016/j.jde.2021.12.004

The regularity properties and blow-up of the solutions for nonlocal general wave equations

Veli B Shakhmurov, Vural Bayrak + Show 1 more

https://doi.org/10.1016/j.jde.2021.12.004

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Journal: Journal of Differential Equations

Publication Date: Dec 14, 2021

Affiliation: Antalya Bilim University, Istanbul Technical University, University of Alabama

#Nonlocal Wave Equations #Type Wave Equations + Show 8 more

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Abstract

In this paper, the Cauchy problem for nonlocal linear and nonlinear wave equations are studied. The equations include the general differential operators. The existence, uniqueness, Lp-regularity properties and blow-up at finite time of solutions of the Cauchy problem is obtained. By choosing differential operators including in equations, the regularity properties of a different type wave equations are studied.

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