Información del curso

Lehrinhalte
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 differential equations:[/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)

Literatur
depending on topic

[u]here:[/u]

Evans: Partial Differential Equations (AMS), 
Lieberman: Second Order Parabolic Differential Equations (World Scientific), 
Renardy, Rogers: An Introduction to Partial Differential Equations (Springer)

Voraussetzungen
recommended: depending on topic, typically Functional Analysis

[u]here:[/u]

Analysis and Linear Algebra, Ordinary Differential Equations, Integration Theory, basic knowledge in Functional Analysis

Zusätzliche Informationen
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-Angebote
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