Qualitative properties of solutions to linear elliptic equations
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
D01KLE_EN | ZK | 2P | English |
- Course guarantor:
- Yuliya Namlyeyeva
- Lecturer:
- Yuliya Namlyeyeva
- Tutor:
- Supervisor:
- Department of Mathematics
- Synopsis:
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The aim of this course is to provide doctoral students with an introduction in the theory of elliptic partial differential equations. The subjects of study are the following: the Laplace and Poisson equations, classical formulation of a boundary condition for the Laplace and Poisson equations, the Dirichlet, Neumann and Newton boundary conditions. Qualitative properties of solutions to the Laplace’s and Poisson’s equations, maximum principle, the Harnack inequality. A priory estimates of solutions and behavior of solutions near the boundary. Generalization of the qualitative theory of solutions to Laplace’s and Poisson’s equations for linear elliptic second order equations.
- Requirements:
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
- Study materials:
- Note:
- Time-table for winter semester 2024/2025:
- Time-table is not available yet
- Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans: