Lecture Material

You must come to lectures to copy down lecture notes.

Lecture notes are not provied here but all examinable material is covered in the lecture times.

In this course, we will introduce

• The maximum principle for ODE,
• maximum principle for elliptic equations,
• Hopf's maximum principle,
• sub and superharmonic functions,
• Dirichlet problem,
• Harnack inequality,
• Perron method,
• irregular and regular boundary points,
• maximum principle for parabolic equations,
• boundary value problems for parabolic equations,
• Cauchy problem,
• boundary value problems for hyperbolic equations.