List questions from sobolev-spaces

Published on 31 Mar 2026 - 22:46

52

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Proof that $W_0^{1,2}$ is the closure of $C_c^{\infty}$

Published on 08 Jan 2017 - 15:19

296

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Riesz representation theorem in a Sobolev space on an interval

Published on 08 Jan 2017 - 16:10

102

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some problem about the subspace of Sobolev space $H^{\frac{1}{2}}$

Published on 09 Jan 2017 - 9:48

247

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Is there an orthonormal basis of the Sobolev space $H^{1}(\Omega)$ with uniformly bounded elements?

Published on 09 Jan 2017 - 14:54

400

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If $-A$ is the Laplacian with Dirichlet boundary conditions on a bounded open subset of $\mathbb R^d$, then $\mathcal D(A^{1/2})=H_0^1(\Lambda)$

Published on 25 Mar 2026 - 18:50

9k

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Understanding the Trace Theorem for Sobolev spaces?

Published on 10 Jan 2017 - 12:31

69

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Relationship between projection operators on $H^1_0$ and $H^1$

Published on 10 Jan 2017 - 13:25

326

Views

Approximating a function in $H^1\cap L^\infty$ by $H^1_0\cap L^\infty$ functions

Published on 10 Jan 2017 - 14:59

206

Views

Partial Weak Derivatives of multi variable function

Published on 26 Mar 2026 - 17:27

127

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Does taking the trace of a function in the Sobolev space $H^1(U)$ cost us $1$ or $\frac{1}{2}$ regularity?

Published on 12 Jan 2017 - 8:54

57

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Derivative of $f(u,v) = \int_\Omega (v-u)^+.$

Published on 12 Jan 2017 - 15:19

57

Views

Deducing $L^4$ convergence in the space-time-cylinder

Published on 12 Jan 2017 - 17:25

167

Views

Weird definition of tensor product of Sobolev spaces

Published on 13 Jan 2017 - 14:41

178

Views

Elliptic PDE on a Moebius band

Published on 26 Mar 2026 - 9:38

List Question

Extension of operator to $L_2$ and $ H_1$

Proof that $W_0^{1,2}$ is the closure of $C_c^{\infty}$

Riesz representation theorem in a Sobolev space on an interval

some problem about the subspace of Sobolev space $H^{\frac{1}{2}}$

Is there an orthonormal basis of the Sobolev space $H^{1}(\Omega)$ with uniformly bounded elements?

If $-A$ is the Laplacian with Dirichlet boundary conditions on a bounded open subset of $\mathbb R^d$, then $\mathcal D(A^{1/2})=H_0^1(\Lambda)$

Understanding the Trace Theorem for Sobolev spaces?

Relationship between projection operators on $H^1_0$ and $H^1$

Approximating a function in $H^1\cap L^\infty$ by $H^1_0\cap L^\infty$ functions

Partial Weak Derivatives of multi variable function

Does taking the trace of a function in the Sobolev space $H^1(U)$ cost us $1$ or $\frac{1}{2}$ regularity?

Derivative of $f(u,v) = \int_\Omega (v-u)^+.$

Deducing $L^4$ convergence in the space-time-cylinder

Weird definition of tensor product of Sobolev spaces

Elliptic PDE on a Moebius band

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