List questions from weak-derivatives

Published on 06 Dec 2015 - 18:48

197

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necessary and sufficient conditions for the existence of solution in the space $W^{k,p}$

Published on 08 Dec 2015 - 0:30

87

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$u\in W^{1,1}(U) \Rightarrow u^+\in W^{1,1}(U)$ , where $U\subset\mathbb{R}^n$ open

Published on 09 Dec 2015 - 10:04

50

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Are there $H^1_0(\Omega)$-functions in the plane that are discontinuous over curves?

Published on 11 Dec 2015 - 13:11

467

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an iff proof on the existence of weak derivative

Published on 12 Dec 2015 - 2:06

186

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Functions of the form $u(x,y) = f(x-y)$ are weak solutions of $u_x + u_y = 0$

Published on 13 Dec 2015 - 23:20

89

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Distributional derivative $Xu=0$ then $u$ is constant over the flow lines of $X$

Published on 16 Dec 2015 - 14:18

252

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Doubts on distributional derivative: null derivative and non negative derivative

Published on 12 Jan 2016 - 9:18

86

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is $u\in L_{loc}^1(\mathbb{R}^2)$ and 2. $u\in W_{loc}^{1,1}(\mathbb{R}^2)$?

Published on 13 Jan 2016 - 15:32

1.1k

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Does the weak divergence exist for each $\mathcal L^2(\Omega;\mathbb R^d)$-function?

Published on 23 Jan 2016 - 16:46

41

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Convergence of the series $\sum_{k=1}^{\infty} \frac{1}{2^k} |x-y_k|^{-\alpha}$

Published on 28 Jan 2016 - 23:57

347

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Showing that $(G' \circ u)u' \in L^p(I)$ where $G \in C^1(\mathbb{R})$ and $u \in W^{1,p}(I)$

Published on 02 Feb 2016 - 17:57

108

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Can we just set it?

Published on 26 Mar 2026 - 2:13

796

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Integration of weak derivative of hat function for FEM.

Published on 27 Feb 2016 - 4:50

245

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Derivative as distribution

Published on 27 Feb 2016 - 21:50

List Question

$-u''+u=\delta_y$ where $u(0)=u(1)=0$

necessary and sufficient conditions for the existence of solution in the space $W^{k,p}$

$u\in W^{1,1}(U) \Rightarrow u^+\in W^{1,1}(U)$ , where $U\subset\mathbb{R}^n$ open

Are there $H^1_0(\Omega)$-functions in the plane that are discontinuous over curves?

an iff proof on the existence of weak derivative

Functions of the form $u(x,y) = f(x-y)$ are weak solutions of $u_x + u_y = 0$

Distributional derivative $Xu=0$ then $u$ is constant over the flow lines of $X$

Doubts on distributional derivative: null derivative and non negative derivative

is $u\in L_{loc}^1(\mathbb{R}^2)$ and 2. $u\in W_{loc}^{1,1}(\mathbb{R}^2)$?

Does the weak divergence exist for each $\mathcal L^2(\Omega;\mathbb R^d)$-function?

Convergence of the series $\sum_{k=1}^{\infty} \frac{1}{2^k} |x-y_k|^{-\alpha}$

Showing that $(G' \circ u)u' \in L^p(I)$ where $G \in C^1(\mathbb{R})$ and $u \in W^{1,p}(I)$

Can we just set it?

Integration of weak derivative of hat function for FEM.

Derivative as distribution

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