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

Autor:	Shakhmurov, Veli, Bayrak, Vural, Shahmurov, Rishad
Přispěvatelé:	Shakhmurov, Veli, 126037 [Shakhmurov, Veli], 6508234400 [Shakhmurov, Veli]
Rok vydání:	2022
Předmět:	Wave equations Dalga denklemler Diferansiyel operatörle Hyperbolic equations Patlamak Applied Mathematics Blow-up Hiperbolik denklemler Fourier çarpanları Fourier multipliers Differential operators Analysis
Zdroj:	Journal of Differential Equations. 310:138-163
ISSN:	0022-0396
DOI:	10.1016/j.jde.2021.12.004
Popis:	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, -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. No sponsor
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef7ed41e12fe9cc41ffc43b9c984de7d https://doi.org/10.1016/j.jde.2021.12.004 Zobrazit plný text záznamu Full Text from ScienceDirect