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.