Fachbereich Mathematik 
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Partial Differential Equations II


Program:

  • Sobolev spaces, Sobolev inequalities and compactness
  • Second order elliptic PDEs
  • Parabolic equations
  • Hyperbolic equations
  • Hyperbolic conservation laws, weak solutions and Lax entropy condition

Literature:

  • Evans, Partial Differential Equations,
  • Gilbarg and Trudinger, Elliptic Partial Differential Equations of Second Order
  • Singular Integrals and Differentiability Properties of Functions, by Elias Stein

Oral exams on the (TBA).

The classes will be on Zoom every Thursday and Friday from 14:15 to 15:45. All the participants (the one registered on Stine) will receive an Email with the link to the lectures. The attendency to the lectures is kindly requested.
 

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