Seminar “On the influence of the irregularity of the domain boundary on the solution of the boundary value problem for the Laplace equation”
Seminar “On the influence of the irregularity of the domain boundary on the solution of the boundary value problem for the Laplace equation”
2023 The event passed
21 Feb
Location
Moscow, st. Ordzhonikidze 3, room. 458 / Online
About the event
21 February at 12.00 (Moscow time)
Speaker: Rossovskii Leonid E., Professor, Doctor of Physical and Mathematical Sciences, RUDN University, Moscow.
Topic: On the influence of the irregularity of the domain boundary on the solution of the boundary value problem for the Laplace equation.
We consider an inhomogeneous boundary value problem with mixed boundary conditions for the Laplace equation in a domain representing a perturbation of a rectangle such that one of its sides is replaced by some (irregular) curve. We establish the estimate for the difference between generalized solutions of the perturbed and unperturbed problems in the Sobolev space of the first order on the common domain of their definition.
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