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

Author

Listed:
  • Vasyl Marynets

    (Faculty of Mathematics and Digital Technologies, Uzhhorod National University, Universytetska St. 14, 88000 Uzhhorod, Ukraine
    These authors contributed equally to this work.)

  • Kateryna Marynets

    (Delft Institute of Applied Mathematics, EEMCS, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands
    These authors contributed equally to this work.)

  • Oksana Kohutych

    (Faculty of Mathematics and Digital Technologies, Uzhhorod National University, Universytetska St. 14, 88000 Uzhhorod, Ukraine
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Vasyl Marynets & Kateryna Marynets & Oksana Kohutych, 2021. "Study of the Boundary Value Problems for Nonlinear Wave Equations on Domains with a Complex Structure of the Boundary and Prehistory," Mathematics, MDPI, vol. 9(16), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1888-:d:610791
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