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Instructors: apl. Prof. Dr. rer. nat. Christian Stinner; Sebastian Bechtel
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
Sel Topics in Ana
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
German and English
Min. | Max. participants:
- | -
Course Contents:
depending on topic,
examples include:
- conservation equations
- stochastic PDEs
- geo-physical flows
- free boundary value problems
- chemotaxis
- Besov spaces
- pseudo differential operators
Contents Parabolic differential equations:
We will study basic properties of linear and semilinear parabolic equations, in particular
explicit classical solutions to the heat equation; existence and uniqueness of solutions to semilinear parabolic equations; qualitative properties of solutions (e.g. maximum principles, regularity, asymptotic behavior, blow-up)
Literature:
depending on topic
here:
Evans: Partial Differential Equations (AMS),
Lieberman: Second Order Parabolic Differential Equations (World Scientific),
Quittner, Souplet: Superlinear Parabolic Problems (Birkhäuser),
Renardy, Rogers: An Introduction to Partial Differential Equations (Springer)
Preconditions:
recommended: depending on topic, typically Functional Analysis
here:
Analysis and Linear Algebra, Ordinary Differential Equations, Integration Theory, basic knowledge in Functional Analysis
Additional Information:
This course can be taken in parallel to the lecture Partial Differential Equations I and overlapping contents will be avoided as far as possible.
Online Offerings:
moodle
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