Study of the boundary value problems for nonlinear wave equations on domains with a complex structure of the boundary and prehistory

Journal Article (2021)
Author(s)

Vasyl Marynets (Uzhhorod National University)

Kateryna Marynets (TU Delft - Mathematical Physics)

Oksana Kohutych (Uzhhorod National University)

DOI related publication
https://doi.org/10.3390/math9161888 Final published version
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Publication Year
2021
Language
English
Issue number
16
Volume number
9
Article number
1888
Pages (from-to)
1-12
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203
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Abstract

We study a boundary value problem for nonlinear partial differential equations of the hyperbolic type on the plain in a domain with a complex boundary. To find the missing data for the given boundary constraints, we solve a supplementary nonlinear problem. For the approximation of solutions, one constructive method is built.