Lecture Notes on Partial Differential Equations

Peter J. Olver

Last Updated:    June 3, 2008

Chapters

  1. What are Partial Differential Equations?
  2. Linear and Nonlinear Waves
  3. Fourier Series
  4. Separation of Variables
  5. Generalized Functions and Green's Functions
  6. Complex Analysis and Conformal Mappings
  7. Fourier Transforms
  8. Linear and Nonlinear Evolution Equations
  9. A General Framework for Linear Partial Differential Equations
  10. Dynamics of Planar Media
  11. Partial Differential Equations in Space
  12. Numerical Methods
  13. The Calculus of Variations

Appendices

   A.   Complex Numbers
   B.   Linear Algebra

References