Select your language

   +(36) 88 624 023 | |    H-8200, Veszprem, Egyetem str. 10, Building I.

Select your language

Ferenc Hartung, professzor

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.


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.