SUBJECT
Title
Partial differential equations
Type of instruction
lecture + practical
Level
master
Faculty
Part of degree program
Credits
2+1
Recommended in
Semester 2
Typically offered in
Spring semester
Course description
First order linear and quasilinear PDEs. Second order linear PDEs, classification. Parabolic and hyperbolic initial value problems. Hilbert spaces, Fourier series, linear operators. Elliptic boundary value problems. Eigenvalue problems, separation of variables. Fourier series expansion of the solution. Green’s function, spherical functions. Parabolic and hyperbolic initial- boundary value problems. Fourier transform, wavelets.
Readings
W. A. Strauss, Partial Differential Equations: An Introduction , Wiley, 2007