List questions from sobolev-spaces

Published on 28 Mar 2026 - 18:16

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Weak Convergence from Strong Convergence

Published on 29 Mar 2026 - 6:30

706

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Divergence operator: is it a linear continuous map on Sobolev Spaces?

Published on 20 Mar 2019 - 20:22

276

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Fundamental theorem of calculus for function composition of Lipschitz functions

Published on 29 Mar 2026 - 12:25

52

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$\forall\varepsilon > 0,\exists\ a >0 : |f(x)|\,\le\, a\|f\|_2 + \varepsilon\|f'\|_2$ for $f\in H^1(0,1)$

Published on 26 Mar 2026 - 11:01

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what is $W^{-1,2}$?

Published on 23 Mar 2019 - 12:47

36

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Existance of $\phi \in L^2$ such as $L(\vec v)=\int_{\Omega}\phi \;\text{div} \vec v \;dx$

Published on 26 Mar 2026 - 6:30

156

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$ W_{0}^{2}(\Omega)=\{ f\in W_{0}^{1}(\Omega):\Delta f\in L^{2}(\Omega)\}? $

Published on 25 Mar 2026 - 13:57

794

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Confusions in Evans book regarding weak derivatives in Banach spaces

Published on 24 Mar 2019 - 1:30

64

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Isometric embedding of $L^2$ onto $H^{-1}$

Published on 28 Mar 2026 - 18:16

19

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Existence of convergent sequence implies convergence of function as $t\to\infty$

Published on 25 Mar 2019 - 7:28

131

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Limit cases in sobolev embedding

Published on 25 Mar 2019 - 12:53

156

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Extension of weak derivatives in Bochner spaces

Published on 25 Mar 2026 - 14:12

43

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Compactness of Sobolev Space

Published on 26 Mar 2019 - 1:31

1k

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Gauss - Green theorem for Sobolev $H^1$ space

Published on 26 Mar 2019 - 8:20

List Question

Confirmation of convergence in subdomain

Weak Convergence from Strong Convergence

Divergence operator: is it a linear continuous map on Sobolev Spaces?

Fundamental theorem of calculus for function composition of Lipschitz functions

$\forall\varepsilon > 0,\exists\ a >0 : |f(x)|\,\le\, a\|f\|_2 + \varepsilon\|f'\|_2$ for $f\in H^1(0,1)$

what is $W^{-1,2}$?

Existance of $\phi \in L^2$ such as $L(\vec v)=\int_{\Omega}\phi \;\text{div} \vec v \;dx$

$ W_{0}^{2}(\Omega)=\{ f\in W_{0}^{1}(\Omega):\Delta f\in L^{2}(\Omega)\}? $

Confusions in Evans book regarding weak derivatives in Banach spaces

Isometric embedding of $L^2$ onto $H^{-1}$

Existence of convergent sequence implies convergence of function as $t\to\infty$

Limit cases in sobolev embedding

Extension of weak derivatives in Bochner spaces

Compactness of Sobolev Space

Gauss - Green theorem for Sobolev $H^1$ space

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