Lecture

Linear Partial Differential Equations

In course

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Description

This lecture covers the concept of linear partial differential equations (PDEs) of order p, focusing on elliptic second-order PDEs. It explains the uniform ellipticity condition, Laplace equation, boundary conditions, classical solutions, and well-posedness. The instructor discusses the maximum principle, uniqueness, and existence of solutions, emphasizing classical solutions and the superposition principle.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_s3e8qhaw

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Ontological neighbourhood

Mathematics

Analysis: Distribution theory

Discrete mathematics: Discrete exterior calculus

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