Lecture

Lax-Milgram: Variational Problems and Riesz's Theorem

In course

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Description

This lecture covers the Lax-Milgram theorem, focusing on variational problems and Riesz's representation theorem. It explains the concept of well-posedness for second-order linear elliptic problems and the abstract variational problem. The instructor discusses the properties of Hilbert spaces, bilinear forms, and coercivity. The lecture concludes with the proof of the Lax-Milgram theorem and the closure of the range of a linear operator.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_ixw549wf

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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