The seminar of the department “On the well-posed solvability of the Neumann problem for a generalized Mangeron equation with nonsmooth coefficients” was held

18.10.2019 / Conferences, assemblies

The regular seminar of the “Optimal Control” department of the Institute of Mathematics and Mechanics was held on October 17. The head of the laboratory “Mathematical problems of control” of the Institute of Control Systems of ANAS, professor of ANAS, doctor of mathematics, Ilgar Gurbat oglu Mamedov gave a talk on “On the well-posed solvability of the Neumann problem for a generalized Mangeron equation with non-smooth coefficients”.

For the fourth-order generalized Mangeron equation with non-smooth coefficients, defined on a rectangular domain, the Neumann problem with non-classical conditions that do not require matching conditions is considered. While the solution to this problem is sought in the isotropic Sobolev space, it is verified that these terms are equivalent to the classical boundary conditions. The well-posed solvability is constructed based on the integral representation method, by reducing the problem into the equation of integral systems. The well-posed solvability of the Neumann problem for the generalized Mangeron equation is proved by the method of operator equations(continuation).

source: www.imm.az/exp/