Ferenc Hartung, professzor
email: hartung.ferenc@mik.uni-pannon.hu
Topics covered:
Fourier-series. Fourier-method in one dimension: heat equation, Laplace’s equation, wawe equation. Nonhomogeneous problems. Fourier-method in higher dimensions. Sturm-Liouville eigenvalues problems, Rayleigh quotient. Green functions.
Fourier-transform solutions of PDEs. Heat equation on infinite domain.
Method of characteristics. Linear and quasilinear wawe equation.
The Cauchy-problem in Banach spaces. Evolution equations. Abstract formulation of some differential equations.
Literature:
R. Haberman, Elementary applied partial differential equations, Prentice Hall, 1987.
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, (AMS, volume 44), Springer, 1983.