Partial Differential Equations
A partial differential equation is an equation involving partial derivatives of a function of several variables. In this course, we study the classical partial differential equations; the wave equation, the Laplace equation and the heat equation.
The course covers:
- Introduction to first order equations.
- The wave equation: equations 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.
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Course structure
The course consists of one module.
Teaching format
Instruction consists of lectures and exercises.
Assessment
The course is assessed through 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. -
Course literature
Note that the course literature can be changed up to two months before the start of the course.
Lawrence Evans, Partial Differential Equations, AMS, 2010.
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More information
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