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

Journal article (2021)

Authors

Vasyl Marynets Uzhhorod National University
K. Marynets Mathematical Physics - EEMCS
Oksana Kohutych Uzhhorod National University
Research Group
Mathematical Physics (EEMCS) (TU Delft)
Copyright: © 2021 Vasyl Marynets, K. Marynets, Oksana Kohutych
DOI: https://doi.org/10.3390/math9161888
Boundary value problem with prehistory Nonlinear wave equation Two–sided method “Free” curves
More Info
expand_more

Published Date

2021-8

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

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.