List questions from regularity-theory-of-pdes

Published on 03 Jun 2016 - 9:19

176

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checking ellipticity of a 2nd order elliptic PDE (In Evans)

Published on 05 Jun 2016 - 3:56

658

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The sign of elliptic operator (divergence form)

Published on 05 Jun 2016 - 6:30

151

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Can we extend a function $u \in H_0^1(\Omega)$ to $\overline{u} \in H_0^1(\widetilde{\Omega})$ with $\Omega \subset \widetilde{\Omega}$?

Published on 05 Jun 2016 - 23:29

176

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Question concerning the proof of regularity for the Laplacian $f \in H^m(\Omega) \Rightarrow u \in H^{m+2}(\Omega) $

Published on 28 Mar 2026 - 1:26

72

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Nonlinear PDE: regularity issues

Published on 27 Mar 2026 - 13:45

893

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What is the regularity of the eigenfunctions for self-adjoint operators with non-smooth coefficients?

Published on 09 Jun 2016 - 22:50

4.6k

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Proving the range of operator is closed

Published on 10 Jun 2016 - 9:11

343

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boundedness of inverse (Evans PDE)

Published on 11 Jun 2016 - 10:13

66

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Representation of functional on overlapping areas

Published on 14 Jun 2016 - 18:19

215

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the proof of variational principal for the principal eigenvalue (checking orthonormal subset)

Published on 15 Jun 2016 - 6:27

549

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Questions about the proof: Continuous function with weak derivatives $\Rightarrow$ $C^1$

Published on 28 Mar 2026 - 1:25

1.1k

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energy estimates Evans PDE chapter 7

Published on 05 Mar 2026 - 2:24

192

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The 3rd term of the energy estimates in chapter 7 Evans PDE

Published on 20 Jun 2016 - 1:16

106

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Good reference for partitions of unity?

Published on 22 Jun 2016 - 12:54

List Question

Energy estimates (Evans PDE Chapter 6): Sobolev norm is controlled by an elliptic operator

checking ellipticity of a 2nd order elliptic PDE (In Evans)

The sign of elliptic operator (divergence form)

Can we extend a function $u \in H_0^1(\Omega)$ to $\overline{u} \in H_0^1(\widetilde{\Omega})$ with $\Omega \subset \widetilde{\Omega}$?

Question concerning the proof of regularity for the Laplacian $f \in H^m(\Omega) \Rightarrow u \in H^{m+2}(\Omega) $

Nonlinear PDE: regularity issues

What is the regularity of the eigenfunctions for self-adjoint operators with non-smooth coefficients?

Proving the range of operator is closed

boundedness of inverse (Evans PDE)

Representation of functional on overlapping areas

the proof of variational principal for the principal eigenvalue (checking orthonormal subset)

Questions about the proof: Continuous function with weak derivatives $\Rightarrow$ $C^1$

energy estimates Evans PDE chapter 7

The 3rd term of the energy estimates in chapter 7 Evans PDE

Good reference for partitions of unity?

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