Study of the Boundary Value Problems for Nonlinear Wave Equations on Domains with a Complex Structure of the Boundary and Prehistory

Vasyl Marynets, Kateryna Marynets and Oksana Kohutych
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Vasyl Marynets: Faculty of Mathematics and Digital Technologies, Uzhhorod National University, Universytetska St. 14, 88000 Uzhhorod, Ukraine
Kateryna Marynets: Delft Institute of Applied Mathematics, EEMCS, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands
Oksana Kohutych: Faculty of Mathematics and Digital Technologies, Uzhhorod National University, Universytetska St. 14, 88000 Uzhhorod, Ukraine

Mathematics, 2021, vol. 9, issue 16, 1-12

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.

Keywords: nonlinear wave equation; two–sided method; boundary value problem with prehistory; “free” curves (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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