PD Dr. Darya Apushkinskaya (Universität des Saarlandes / RUDN University): Venttsel problems with discontinuous data
EINLADUNG ZUM OBERSEMINAR
ANALYSIS UND ANGEWANDTE MATHEMATIK
am Montag, den 22.05.2023, um 15:15, im Raum 0421
Meeting ID: 962 1709 1997
Venttsel problems with discontinuous data
PD Dr. Darya Apushkinskaya (Universität des Saarlandes / RUDN University)
In this talk we present new results concerning the discontinuous Venttsel~boundary value problems for second-order elliptic equations. The discontinuity regards the coefficients of the differential operators acting inside and on the boundary of the underlying domain, and is expressed in terms of appurtenance of the principle coefficients to the class of functions with vanishing mean oscillation (VMO), while optimal Lebesgue integrability requirements are imposed on the lower-order coefficients.
We consider strong solutions belonging to Sobolev spaces with optimal exponent ranges and discuss Lp-regularity and stability theory for such problems.
The talk is based on results obtained in collaboration with Alexander Nazarov, Dian Palagachev, and Lubomira Softova.