Lecture Notes on PDEs

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Lecture Notes

  • Contents
  • Chapter 1: Preliminaries
  • Chapter 2: Laplace's equation
  • Chapter 3: Sobolev spaces
  • Appendix: Functions of one variable
  • Chapter 4: Elliptic PDEs
  • Appendix
  • Chapter 5: The heat equation
  • Appendix: The Fourier transform
  • Bibliography

Full set of notes