List questions from regularity-theory-of-pdes

Published on 07 Mar 2017 - 23:10

104

Views

If $L$ is elliptic, is $\partial_t - L$ hypoelliptic?

Published on 25 Mar 2026 - 14:39

413

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regularity of weak solution

Published on 20 Mar 2017 - 14:32

49

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Does the regularity estimate of the solution to a PDE problem give us the continuity from $H^{1}(\Omega)$ to $L^{2}(\Omega)$

Published on 29 Jan 2023 - 12:17

42

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Hölder regularity in the quantitative manner

Published on 25 Mar 2026 - 17:26

479

Views

Weyl's lemma; doubt about the proof

Published on 11 Feb 2023 - 21:15

176

Views

Poisson problem with discontinuous coefficient

Published on 26 Mar 2026 - 8:14

104

Views

Two questions on Schauder Interior Estimate (Theorem 6.2) from Gilbarg-Trudinger

Published on 15 Feb 2023 - 0:50

33

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For $u:\mathbb{R}^3 \to \mathbb{R}^3$, if $u \in W^{n,p}(\mathbb{R}^3)$, then what is the regularity of $\nabla \cdot u$?

Published on 26 Mar 2026 - 9:18

166

Views

Harmonic functions are continuous

Published on 28 Feb 2023 - 4:48

214

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Regularity of Weak solution for biharmonic problem

Published on 26 Mar 2026 - 11:06

45

Views

Linear Elliptic Problems: Are gradient estimates preserved after perturbation?

Published on 25 Mar 2026 - 16:13

46

Views

Sequence of positive solutions of elliptic PDE

Published on 26 Mar 2026 - 1:14

82

Views

$L^{1}$ bounded solution of elliptic equation implies $L^{\infty}$ boundedness

Published on 26 Mar 2026 - 11:06

59

Views

Regularity of FEM a priori

Published on 25 Mar 2026 - 8:10

List Question

regularity theory for harmonic maps, inquiry

If $L$ is elliptic, is $\partial_t - L$ hypoelliptic?

regularity of weak solution

Does the regularity estimate of the solution to a PDE problem give us the continuity from $H^{1}(\Omega)$ to $L^{2}(\Omega)$

Hölder regularity in the quantitative manner

Weyl's lemma; doubt about the proof

Poisson problem with discontinuous coefficient

Two questions on Schauder Interior Estimate (Theorem 6.2) from Gilbarg-Trudinger

For $u:\mathbb{R}^3 \to \mathbb{R}^3$, if $u \in W^{n,p}(\mathbb{R}^3)$, then what is the regularity of $\nabla \cdot u$?

Harmonic functions are continuous

Regularity of Weak solution for biharmonic problem

Linear Elliptic Problems: Are gradient estimates preserved after perturbation?

Sequence of positive solutions of elliptic PDE

$L^{1}$ bounded solution of elliptic equation implies $L^{\infty}$ boundedness

Regularity of FEM a priori

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