课程信息

Course Contents
depending on topic,
examples include:
- conservation equations
- stochastic PDEs
- geo-physical flows
- free boundary value problems
- chemotaxis
- Besov spaces
- pseudo differential operators

[u]Contents Parabolic PDEs:[/u] 

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

[u]here:[/u]

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

[u]here:[/u] 

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
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