Lecture

Linear PDEs of Order 2

In course

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Description

This lecture covers linear partial differential equations (PDEs) of order 2, focusing on elliptic second-order PDEs. The instructor explains the concept of ellipticity and positive definiteness in PDEs, emphasizing uniform ellipticity. The lecture also delves into the Laplace operator, Laplace equation, and boundary conditions. The presentation concludes with discussions on classical solutions, superposition principle, and uniqueness in PDEs.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_1jm4bbfw

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Discrete mathematics: Discrete exterior calculus

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