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2023/2024
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Qualitative properties of solutions to linear elliptic equations

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Code Completion Credits Range Language
D01KLE_EN ZK 2P English
Garant předmětu:
Yuliya Namlyeyeva
Lecturer:
Yuliya Namlyeyeva
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

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:
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Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
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The course is a part of the following study plans:
Data valid to 2024-05-22
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