KMA/PDR2 Partial Differential Equations 2

Lecturers: Rostislav Vodák, Tomáš Fürst
Lecture: 2 hours/week + excercise 1 hour/week
Credits: 4
Winter semester
Form of course completion: course credit, exam

• Introduction to Sobolev and Bochner spaces.
• Existence and uniqueness of weak solutions to elliptic equations, Lax-Milgram's lemma.
• Existence and uniqueness of weak solutions to elliptic equations base upon modern variation methods and the abstract functional approach.
• Eigenvalues of symmetric elliptic operators.
• Existence and uniqueness of weak solutions to parabolic and hyperbolic equations, Galerkin's scheme.
• Existence and uniqueness of weak solutions to parabolic equations, Rothe's scheme.