KMA/PDR1 Partial Differential Equations 1

Lecturers: Rostislav Vodák, Tomáš Fürst
Lecture: 2 hours/week + excercise 2 hours/week
Credits: 3
Summer semester
Form of course completion: course credit, exam

• Equations of mathematical physics.
• Classification of equations of the second order, canonic form of the equations.
• Derivation of the basic equations of mathematical physics.
• Wave and heat equations and their fundamental solutions (d'Alembert method and Fourier transform).
• Fourier method for the wave, heat and Poisson equations.
• The maximum principle.
• Uniqueness of solution.
• Three potentials theorem.
• Harmonic functions and their properties (the maximum principle, Harnack theorems).