Instructor: Dacian Daescu
Office: Neuberger Hall 313
Phone: (503) 725-3581
E-mail: daescu@pdx.edu
Office Hours: TR 12:30- 13:30
URL: http://web.pdx.edu/~daescu/

Class time and location: TR 14:00-15:15, Urban Center Building (URBN) 250

Lecture Notes

• Week 1-2
  • Review of concepts and notation
  • Mathematical models of physical processes

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• Week 2-3
  • First Order PDEs
  • General Solution to First Order PDEs

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• Week 3
  • First Order Nonlinear PDEs

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• Week 4-5
  • Introduction to Modern Theory
  • Weak derivatives and Sobolev spaces

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• Week 6-7
  • Poincare Inequality & Applications
  • General Linear Elliptic Problems. Lax-Milgram Theorem and Applications

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• Week 7-8
  • Trace Theorem
  • Nonhomogeneous Boundary Conditions.

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• Week 8-9
  • Higher Order Sobolev spaces. Compact operators. Sobolev inequalities (embeddings).

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• Week 10
  • The Obstacle Problem. Stampacchia's Theorem. Variational Inequalities.

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  Homework assignments

  HW 1, due 10/15	HW 2, due 10/29	HW 3, due 11/24

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