On 26 September at 14:00 p.m. (Moscow time)
The following presentation is devoted to the three problems for various modifications of the Kawahara equation.
Egor Martynov, PhD student of the Mathematical Institute of RUDN, Moscow.
- In the first part of the presentation, we consider the large time decay of solutions of the initial boundary value problem for the damped Kawahara equation. We establish the well-posedness of such solution.
- The second part of the presentation is devoted to the investigation of the inverse problems for the generalized Kawahara equation with integral overdetermination and its linear analogue.
- The third part of the presentation is dedicated to the investigation of initial boundary value problems with different types of boundary conditions for a two-dimensional modification of the Kawahara equation.
We establish the well-posedness and the large time decay of strong and weak solutions of the considered problem.