PARTIAL DIFFERENTIAL EQUATIONS
First order partial differential equation and Hamilton-Jacobi equations; Cauchy problem and classification of second order equations, Holmgren’s uniqueness theorem; Laplace equation; Diffusion equation; Wave equation; Some methods of solutions, Variable separable method.
Books
- Garabedian, P. R., Partial Differential Equations, John Wiley and Sons, 1964.
- Prasad. P. and Ravindran, R., Partial Differential Equations, Wiley Eastern, 1985.
- Renardy, M. and Rogers, R. C., An Introduction to Partial Differential Equations, Springer-Verlag, 1992.
- Fritz John, Partial differential Equations, Springer (International Students Edition), 1971.