List questions from sobolev-spaces

Published on 27 Mar 2026 - 6:17

278

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Estimating the modulus of continuity of translation in $L^2$ by a Sobolev norm of the function

Published on 01 Apr 2026 - 3:45

114

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bounding supremum with Sobolev embedding theorem

Published on 25 Mar 2026 - 12:22

94

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Estimating the rate of convergence of $|S_Nf-f|$ given that $\|f\|_{H^s}\leq 1$

Published on 01 Apr 2026 - 3:45

303

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$H^{1/2}$ function but not better

Published on 24 Sep 2014 - 15:24

43

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$G(f) \le \|f\|_{H^s(\mathbb R)},\; s>2 \Rightarrow G(f) \le \|f\|_{H^2(\mathbb R)}$?

Published on 28 Sep 2014 - 6:56

563

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Fractional Sobolev space $H^{1/2}(-\pi,\pi)$

Published on 29 Sep 2014 - 15:20

125

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Density of $C\infty([0,T];V)$ in $W(0,T;V,V)$.

Published on 30 Sep 2014 - 10:09

523

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Closed Operator on a Sobolev space

Published on 30 Sep 2014 - 17:41

68

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Proving a PDE has a particular weak form (check my proof please!)

Published on 01 Oct 2014 - 12:52

145

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Equivalence of two definitions of weak solution (from a book, I don't understand something!!!!)

Published on 25 Mar 2026 - 19:04

681

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The approximation of BV functions

Published on 26 Mar 2026 - 6:03

181

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Is the embedding $L^2(0,T;H^1) \subset L^2(0,T;L^2)$ compact?

Published on 06 Oct 2014 - 4:40

1k

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Uniformly bounded sequence in Hilbert-Sobolev space

Published on 06 Oct 2014 - 15:51

132

Views

Counterexample for existence of a minimiser in a variational problem

Published on 28 Mar 2026 - 21:27

List Question

The proof of a Sobolev embedding inequality by a compactness argument

Estimating the modulus of continuity of translation in $L^2$ by a Sobolev norm of the function

bounding supremum with Sobolev embedding theorem

Estimating the rate of convergence of $|S_Nf-f|$ given that $\|f\|_{H^s}\leq 1$

$H^{1/2}$ function but not better

$G(f) \le \|f\|_{H^s(\mathbb R)},\; s>2 \Rightarrow G(f) \le \|f\|_{H^2(\mathbb R)}$?

Fractional Sobolev space $H^{1/2}(-\pi,\pi)$

Density of $C\infty([0,T];V)$ in $W(0,T;V,V)$.

Closed Operator on a Sobolev space

Proving a PDE has a particular weak form (check my proof please!)

Equivalence of two definitions of weak solution (from a book, I don't understand something!!!!)

The approximation of BV functions

Is the embedding $L^2(0,T;H^1) \subset L^2(0,T;L^2)$ compact?

Uniformly bounded sequence in Hilbert-Sobolev space

Counterexample for existence of a minimiser in a variational problem

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