List questions from sobolev-spaces

Published on 26 Mar 2026 - 17:34

555

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Bounded data means bounded solution to parabolic PDE

Published on 30 Apr 2014 - 18:36

113

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equation in Sobolev space

Published on 28 Mar 2026 - 4:52

94

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If $u_n$ is bounded and pointwise convergent, then $u_n$ convges in $W_{2,p}$.

Published on 25 Mar 2026 - 9:53

275

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Looking for a "trace inequality" of normal derivative in $L^1$

Published on 06 May 2014 - 10:06

208

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The completion of $C_c^\infty(M)$ with respect to $\lVert \nabla u\rVert_{L^2(M)}$ on a compact Riemannian manifold

Published on 08 May 2014 - 10:19

82

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Approximating with a sequence convergent in multiple Sobolev Norms.

Published on 08 May 2014 - 17:40

206

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Completeness of Sobolev space constructed from seminorm

Published on 30 Mar 2026 - 14:39

525

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Why does Boundary $H^2$ regularity fail for trace non-zero functions?

Published on 09 May 2014 - 20:19

406

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$L^\infty$ bound on solution of $u_t -\Delta u =f$ where $f \in L^\infty$ and $u_0 \in L^\infty$??

Published on 25 Mar 2026 - 19:06

7.7k

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How to prove the spectrum of the Laplace operator?

Published on 27 Mar 2026 - 12:08

391

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Elliptic PDEs in Banach space

Published on 17 May 2014 - 22:31

168

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Question on Gagliardo-Nirenberg.

Published on 20 May 2014 - 3:32

414

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Approximate an $L^2$ function from "inside"

Published on 26 Mar 2026 - 12:32

68

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Question about functions in Sobolev space.

Published on 20 May 2014 - 17:30

List Question

Hardy-Littlewood-Sobolev fractional integration inequality fails at endpoints

Bounded data means bounded solution to parabolic PDE

equation in Sobolev space

If $u_n$ is bounded and pointwise convergent, then $u_n$ convges in $W_{2,p}$.

Looking for a "trace inequality" of normal derivative in $L^1$

The completion of $C_c^\infty(M)$ with respect to $\lVert \nabla u\rVert_{L^2(M)}$ on a compact Riemannian manifold

Approximating with a sequence convergent in multiple Sobolev Norms.

Completeness of Sobolev space constructed from seminorm

Why does Boundary $H^2$ regularity fail for trace non-zero functions?

$L^\infty$ bound on solution of $u_t -\Delta u =f$ where $f \in L^\infty$ and $u_0 \in L^\infty$??

How to prove the spectrum of the Laplace operator?

Elliptic PDEs in Banach space

Question on Gagliardo-Nirenberg.

Approximate an $L^2$ function from "inside"

Question about functions in Sobolev space.

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