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

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...

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Hlavní autoři:	O.M. Buhrii, O.T. Kholyavka, P.Ya. Pukach, M.I. Vovk
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	Vasyl Stefanyk Precarpathian National University 2020-12-01
Edice:	Karpatsʹkì Matematičnì Publìkacìï
Témata:	nonlinear hyperbolic equation cauchy problem variable exponent of nonlinearity lebesgue space with variable exponent
On-line přístup:	https://journals.pnu.edu.ua/index.php/cmp/article/view/4166
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