Sobolev spaces and weak solutions of boundary-value problems

Descipline Sobolev spaces and weak solutions of boundary-value problems
Faculty Faculty of Mechanics and Mathematics
Faculty URL http://www.mechmat.univ.kiev.ua/en
Language English
Degree Bachelor
Credits 2
Semester 2
Description This course outlines the basic properties of Sobolev spaces, namely we prove theorems about extension operators and trace operators, the classical embedding theorems and fundamental inequalities in Sobolev spaces. Further, these facts are used to introduce the concept of weak solutions of the basic elliptic boundary value problems and to ascertain the correctness of those problems.
Teachers Mel’nyk Taras Anatolijovych
Department of mathematical fhysics,
Faculty of Mechanics and Mathematics,
Phone:
+380442590540
e-mail:
melnyk@imath.kiev.ua
Author: admin