Lecture 23: The Dirichlet Problem on an Interval

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MIT 18.102 Introduction to Functional Analysis, Spring 2021
Instructor: Dr. Casey Rodriguez

We conclude this course on functional analysis by applying our understanding of the material to the well-posedness theory for the Dirichlet problem on an interval.

License: Creative Commons BY-NC-SA

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Комментарии
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Big thanks to MIT OCW. I’ve been able to refresh, familiarize, and learn: calculus, linear algebra, classical mechanics, electrodynamics, classical waves, quantum mechanics, and I’m now familiar with functional analysis. A fantastic resource!

GuitarSorcery
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I have watched all videos of functional analysis. I did not know that
1. the notion of equi-small tails
2. the set of compact operaters is the closure of finite rank operators
3. the reason of name "resolvent"
4 Good example of compact operator
5, , ,, and many things I have learned through his 23 lectures.

I greatly appreciate his lecture. His lecture let me be close to functional analysis. Great lecture!
One thing I wanna order is that sometimes his voice is too small to hear, but anyway Great!

hausdorffm
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He builds to the adjoint for trivial means. Well done.

SSNewberry
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I think there is a little typo in the beginning of the proof of Theorem 241. It is stated: "... since m_V and A^(1/2) are compact operators, so ...". It should read: "... since A^(1/2)m_V and A^(1/2) are compact operators, so ...". Kind regards

enricods
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Isn't at 16:06 RHS is C | \int f(y) | rather than C \int | f(y) |?

broccoloodle
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Good lecture, but I have a comment:
1) At 25', the I checked the solution, it should by Does anyone check it?

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