Lecture Notes on PDEs

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Lecture Notes

Full set of notes

Lecture Notes: By Chapter

  • Contents
  • Chapter 1: Preliminaries
  • Chapter 2: Laplace's equation
  • Chapter 3: Sobolev spaces
  • Appendix: Functions of one variable
  • Chapter 4: Elliptic PDEs
  • Appendix: Heat flow
  • Chapter 5: The heat equation
  • Appendix: The Fourier transform
  • Chapter 6: Parabolic equations
  • Appendix: Vector-valued functions
  • Chapter 7: Hyperbolic equations
  • Chapter 8: Friedrich symmetric systems
  • Bibliography