Problem for a nonlinear hyperbolic equation of the third order in a domain unbounded in spatial variables
1 Department of Mathematics and physics, National Forestry and Wood Technology University of Ukraine, Lviv, 79057, Ukraine
Keywords:
hyperbolic equation, spatial variables
Abstract
The mixed problem for nonlinear equations of the third order with the function power nonlinearities are considered in the unbounded on the spatial variables domain. The solvability in the generalized Lebesque spaces is proved for the mixed problem without any assumptions on the grows of the initial data of this problem.
Cite
- ACS Style
- Protsakh , N.P. Problem for a nonlinear hyperbolic equation of the third order in a domain unbounded in spatial variables. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Protsakh NP. Problem for a nonlinear hyperbolic equation of the third order in a domain unbounded in spatial variables. Bukovinian Mathematical Journal. 2018; 1(314).
- Chicago/Turabian Style
- Nataliya Petrivna Protsakh . 2018. "Problem for a nonlinear hyperbolic equation of the third order in a domain unbounded in spatial variables". Bukovinian Mathematical Journal. 1 no. 314.
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