Math 836 Elliptic PDEs Spring 2020 Lectures

Math 836 Elliptic PDEs Spring 2020 Lectures

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These are recordings of lectures on Elliptic PDEs for Math 836 during Spring 2020. I started recording the lectures midway through the semester.

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Boundary chart for an open set 1 of 15

duration 41 minutes 23 seconds

Boundary chart for an open set

Boundary chart for an open set

Boundary chart for an open set

Boundary chart for an open set

Elliptic BVPs

From Rakesh Rakesh

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Regularity up to the boundary II 2 of 15

duration 24 minutes 37 seconds

Regularity up to the boundary II

Regularity up to the boundary II

Regularity up to the boundary II

Regularity up to the boundary II

From Rakesh Rakesh

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Regularity up to the boundary II 3 of 15

duration 39 minutes 54 seconds

Regularity up to the boundary II

Regularity up to the boundary II

Regularity up to the boundary II

Regularity up to the boundary II

From Rakesh Rakesh

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Regularity up to the boundary I 4 of 15

duration 1 hour 20 minutes

Regularity up to the boundary I

Regularity up to the boundary I

Regularity up to the boundary I

Regularity up to the boundary I

From Rakesh Rakesh

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Interior regularity II 5 of 15

duration 1 hour 7 minutes

Interior regularity II

Interior regularity II

Interior regularity II

Interior regularity II

From Rakesh Rakesh

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Interior regularity I 6 of 15

duration 53 minutes 34 seconds

Interior regularity I

Interior regularity I

Interior regularity I

Interior regularity I

From Rakesh Rakesh

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The difference quotient 7 of 15

duration 1 hour 7 minutes

The difference quotient

The difference quotient

The difference quotient

The difference quotient

From Rakesh Rakesh

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Boundedness of solution operator for elliptic BVP 8 of 15

duration 45 minutes 40 seconds

Boundedness of solution operator for elliptic BVP

Boundedness of solution operator for elliptic BVP

Boundedness of solution operator for elliptic BVP

Boundedness of solution operator for elliptic BVP

From Rakesh Rakesh

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The Fredholm alterntative for elliptic BVP 9 of 15

duration 34 minutes 57 seconds

The Fredholm alterntative for elliptic BVP

The Fredholm alterntative for elliptic BVP

The Fredholm alterntative for elliptic BVP

The Fredholm alterntative for elliptic BVP

From Rakesh Rakesh

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The spectrum of elliptic operators 10 of 15

duration 1 hour 9 minutes

The spectrum of elliptic operators

The spectrum of elliptic operators

The spectrum of elliptic operators

The spectrum of elliptic operators

From Rakesh Rakesh

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The adjoint BVP II 11 of 15

duration 27 minutes 5 seconds

The adjoint BVP II

The adjoint BVP II

The adjoint BVP II

The adjoint BVP II

From Rakesh Rakesh

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The adjoint BVP I 12 of 15

duration 32 minutes 26 seconds

The adjoint BVP I

The adjoint BVP I

The adjoint BVP I

The adjoint BVP I

From Rakesh Rakesh

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Well-posedness for large negative lambda 13 of 15

duration 1 hour 4 minutes

Well-posedness for large negative lambda

Well-posedness for large negative lambda

Well-posedness for large negative lambda

Well-posedness for large negative lambda

From Rakesh Rakesh

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The elliptic BVP and the Lax-Milgram lemma 14 of 15

duration 53 minutes 4 seconds

The elliptic BVP and the Lax-Milgram lemma

The elliptic BVP and the Lax-Milgram lemma

The elliptic BVP and the Lax-Milgram lemma

The elliptic BVP and the Lax-Milgram lemma

From Rakesh Rakesh

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Proof of the Lax-Milgram Lemma 15 of 15

duration 40 minutes 9 seconds

Proof of the Lax-Milgram Lemma

Proof of the Lax-Milgram Lemma

Proof of the Lax-Milgram Lemma

Proof of the Lax-Milgram Lemma

From Rakesh Rakesh

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