List questions from weak-derivatives

Published on 28 Mar 2026 - 4:34

337

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How do I prove the solution operator for my elliptic PDE is bounded?

Published on 28 Mar 2026 - 4:33

109

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Time continuity in $H^1_0$ for weak solution to $u_t - \Delta u = u \log |u|$

Published on 26 Mar 2026 - 16:26

581

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Continuity and weak differentiability with continuous weak derivative implies strong continuous differentiability?

Published on 19 Aug 2020 - 15:58

182

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Weak partial derivative versus strong derivative

Published on 25 Aug 2020 - 14:51

218

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Prove that a parabolic problem is well posed (Lax-Milgram lemma appilication)

Published on 04 Sep 2020 - 9:08

49

Views

Is the immersion $i: H^1(\Omega) \hookrightarrow L^4(\Omega)$ continuous in $1D$?

Published on 21 Sep 2020 - 16:26

117

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Weak formulation and Lax-Milgram lemma for $\partial_t u = \partial_x (u^2 \partial_x u)$

Published on 24 Feb 2026 - 0:26

132

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Sign of the second order derivative in the sense of distributions at a point of discontinuity

Published on 24 Sep 2020 - 19:37

454

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weak derivative equals 0 implies constant

Published on 25 Sep 2020 - 9:39

78

Views

Holder function and weak derivatives

Published on 29 Sep 2020 - 15:33

374

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Weak derivative of a multivariable function and Sobolev spaces

Published on 28 Mar 2026 - 6:48

584

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Functions that don't have a weak derivative in $L^p(\mathbb{R}^n)$

Published on 16 Oct 2020 - 5:09

155

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Divergence of a function product with functions in $L^\infty (\Omega)$ and $H^1(\Omega)$

Published on 02 Nov 2020 - 16:11

41

Views

On the variational equation associated with an ODE.

Published on 09 Nov 2020 - 15:14

List Question

PDE Sobolev Space, prove the equation holds weakly

How do I prove the solution operator for my elliptic PDE is bounded?

Time continuity in $H^1_0$ for weak solution to $u_t - \Delta u = u \log |u|$

Continuity and weak differentiability with continuous weak derivative implies strong continuous differentiability?

Weak partial derivative versus strong derivative

Prove that a parabolic problem is well posed (Lax-Milgram lemma appilication)

Is the immersion $i: H^1(\Omega) \hookrightarrow L^4(\Omega)$ continuous in $1D$?

Weak formulation and Lax-Milgram lemma for $\partial_t u = \partial_x (u^2 \partial_x u)$

Sign of the second order derivative in the sense of distributions at a point of discontinuity

weak derivative equals 0 implies constant

Holder function and weak derivatives

Weak derivative of a multivariable function and Sobolev spaces

Functions that don't have a weak derivative in $L^p(\mathbb{R}^n)$

Divergence of a function product with functions in $L^\infty (\Omega)$ and $H^1(\Omega)$

On the variational equation associated with an ODE.

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