Partial differential equations are used frequently in mathematics and science to describe models. Therefore its theory is an essential part in mathematical analysis.
The course includes basic representation formulas, existence and uniqueness, regularity and stability of linear and some nonlinear partial differential equations. Important concepts included in the examination are e.g. maximum principles, variational methods, well posedness, classical solutions, weak and generalised solutions.
The aim is that students can use the basic mathematical methods to analyze linear and nonlinear partial differential equations. In particular this includes
for the standard linear and some important non linear partial equations.
A Master degree including at least 30 university credits (hp) in in Mathematics (including differential equations).
Evans L.C., Partial Differential Equations, Second edition, American Mathematical Society, Providence RI, 2010.
If the course is discontinued, students may request to be examined during the following two academic years.
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Homework problems, Written exam
Homework completed
Written exam passed
