Partielle Differential­gleichungen - Analytische Grundlagen

Partial Differential Equations (MA-ANAPDE)

• lecturer:
  Prof. Dr. Stefan Neukamm
• time and place:
  Mo. 1 - 2.30 pm, WIL A124
  Thu. 1 - 2.30 pm, WIL C129
  
  Exercises within the lecture.
• Content:
  In this lecture we give an introduction to partial differential equations with a focus on weak solutions to second-order elliptic and parabolic equations. In particular, we discuss the definition and properties of Sobolev spaces.
• Preliminaries:
  We require basic knowledge in analysis (e.g. Lebesgue spaces, integration on a manifold). Some knowledge in functional analysis is helpful, but not necessary to follow the course.
• Language:
  german  and english on request
• Texbooks:
  • L. C. Evans: Partial Differential Equations
  • H.W. Alt: Funktionalanalysis
  • H. Brezis: Functional Analysis, Sobolev Spaces and Partial Differential Equations
  • B. Schweizer: Partielle Differentialgleichungen

Problem Sheets

Examination

• oral exam.

Materials

• complete lecture notes (last update Jan 25 2018)
• exercise sheets 2, 3, 4, 5