List questions from elliptic-operators

Published on 09 Nov 2017 - 16:51

71

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How multiplication operators affect existence and regularity of the solutions of an elliptic PDE

Published on 30 Nov 2017 - 22:23

91

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How do I show continuity of mixed-weak solution to Zaremba's problem?

Published on 09 Dec 2017 - 18:46

501

Views

Green's functions/fundamental solution to a non-constant coefficients pde

Published on 12 Dec 2017 - 18:07

105

Views

Why does the determinant of the Dirac operator on $S^n$ approach $1$ as $n\to\infty$?

Published on 14 Sep 2020 - 2:46

119

Views

PDE Evans, 6.5.1, Theorem 2

Published on 25 Sep 2020 - 19:22

136

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Poincaré inequality and Lax-Milgram lemma on a convex space

Published on 18 Oct 2020 - 1:53

164

Views

Two Definition of Elliptic Symbols

Published on 25 Mar 2026 - 9:26

730

Views

Inverting the vorticity via Biot-Savart in Navier Stokes

Published on 27 Oct 2020 - 21:28

98

Views

Hölder continuity of gradient

Published on 29 Oct 2020 - 8:20

83

Views

Topological index in Atiyah Singer

Published on 16 Nov 2020 - 15:41

413

Views

Fredholm operators -- index

Published on 25 Nov 2020 - 10:24

135

Views

Using Lax Milgram lemma and energy estimates on the real line

Published on 10 Jan 2021 - 22:39

112

Views

Prove Liouville theorem without using mean value property

Published on 11 Jan 2021 - 18:21

83

Views

Find strictly subharmonic function vanishing at infinity

Published on 20 Feb 2021 - 18:54

List Question

Why index of elliptic differential operators vanishes in odd dimensional manifolds?

How multiplication operators affect existence and regularity of the solutions of an elliptic PDE

How do I show continuity of mixed-weak solution to Zaremba's problem?

Green's functions/fundamental solution to a non-constant coefficients pde

Why does the determinant of the Dirac operator on $S^n$ approach $1$ as $n\to\infty$?

PDE Evans, 6.5.1, Theorem 2

Poincaré inequality and Lax-Milgram lemma on a convex space

Two Definition of Elliptic Symbols

Inverting the vorticity via Biot-Savart in Navier Stokes

Hölder continuity of gradient

Topological index in Atiyah Singer

Fredholm operators -- index

Using Lax Milgram lemma and energy estimates on the real line

Prove Liouville theorem without using mean value property

Find strictly subharmonic function vanishing at infinity

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