PDE Seminar (2016/11/11): Mixed boundary value problem in unbounded domain for elliptic equation of second order, Akif Ibragimov (Texas Tech University)
 Date

20161111 16:30 
20161111 18:00
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Akif Ibragimov (Texas Tech University)

 In this paper we will investigate regularity problem at in infinity for solutions of elliptic equation of second order with respect to mixed Dirichlet and Neumann boundary conditions. We will show that under some assumption on Dirichlet and Neumann parts of the boundary solution is regular at in infinity.
First this type of test was obtained in breakthrough work by Vladimir Mazya for elliptic equations in divergent form in "An analogue of Wiener's criterion for the Zaremba problem in a cylindrical domain." Funktsional. Anal. i Prilozhen. 16 (1982), No. 4.
In the current research both divergent and nondivergent equations will be considered. Main result for divergent equation is part of joint project with Alexander Grigoryan from Bielefield University. The main result for nondivergent equation is joint project with Alexander Nazarov from St. Petersburg Department of V.A.Steklov Institute of Mathematics.