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
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
