Partial Differential Equations
Learn to account for and prove basic theorems on partial differential equations, especially the wave equation, the Laplace equation and the heat equation.
The course covers: Introduction to first order equations. The wave equation: equation in one or several space coordinates, Huygens’ principle. The Laplace equation: fundamental solutions, Green's function, Dirichlet problem, the maximum principle, Dirichlet's principle, introduction to Sobolev spaces. The heat equation: initial value problem, fundamental solutions, the maximum principle.
This course is given jointly by Stockholm University and KTH, and part of the course is given at KTH. More information can be found on the course web before the start of the semester, see link below.
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Course structure
The course consists of one element.
Teaching format
Instruction is given in the form of lectures and exercises.
Assessment
The course is assessed through written and/or oral examination.
Examiner
A list of examiners can be found on
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Schedule
The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.The schedules for the KTH and SU parts of the course may be shown separately.
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Course literature
Note that the course literature can be changed up to two months before the start of the course. -
More information
New student
During your studiesCourse web
We do not use Athena, you can find our course webpages on kurser.math.su.se.
There may be another course web for the part of the course given at KTH. If so, this should be linked from the course web at Stockholm University found via the link above.
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Contact