Cauchy problem for hyperbolic equations of third order with variable exponent of nonlinearity

Autor:	M. Vovk, O.T. Kholyavka, O.M. Buhrii, P. Ya. Pukach
Rok vydání:	2020
Předmět:	Cauchy problem Nonlinear system Third order General Mathematics Mathematical analysis Initial value problem Uniqueness Lp space Hyperbolic partial differential equation Mathematics Variable (mathematics)
Zdroj:	Carpathian Mathematical Publications. 12:419-433
ISSN:	2313-0210 2075-9827
DOI:	10.15330/cmp.12.2.419-433
Popis:	We investigate weak solutions of the Cauchy problem for the third order hyperbolic equations with variable exponent of the nonlinearity. The problem is considered in some classes of functions namely in Lebesgue spaces with variable exponents. The sufficient conditions of the existence and uniqueness of the weak solutions to given problem are found.
Databáze:	OpenAIRE
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