• Title of article

    Mixed problem for one-dimensional wave equation with dynamic boundary condition

  • Author/Authors

    Aliev, Akbar B. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Rustamova, Samira O. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan

  • Pages
    13
  • From page
    28
  • To page
    40
  • Abstract
    In this work we study a mixed problem for a nonlinear wave equation with dynamical boundary conditions. Using the nonlinear semigroup theory we investigate the existence and uniqueness of local and global solutions. We also investigate the question about solvability of these problems, when the dynamical boundary conditions deteriorate to the quasi-static boundary conditions.
  • Keywords
    semilinear wave equation , dynamical boundary conditions , mixed problem , global solvability , nonlinear dissipation
  • Journal title
    Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Serial Year
    2020
  • Full Text URL
    http://trans.imm.az/volumes/40-1/4001-04.pdf
  • Record number

    2611942

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2611942