Question

$J^{-1}:\operatorname{Im}(J)\subset C_c^\infty(\Omega') \to C_c^\infty(\Omega)$ is not continuous

score 50 · Answer 1 · 2026-03-28 11:31:59

50

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$J^{-1}:\operatorname{Im}(J)\subset C_c^\infty(\Omega') \to C_c^\infty(\Omega)$ is not continuous

Published on 28 Mar 2026 - 11:31

score 321 · Answer 2 · 2026-03-25 07:43:55

321

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Fundamental solution of a first order distributional equation

Published on 25 Mar 2026 - 7:43

score 57 · Answer 3 · 2026-03-27 22:53:55

57

Views

Prove that $\left.F\right|_{\left\{ϕ∈C_c^∞(Ω,ℝ^d):∇⋅ϕ=0\right\}}=0⇔∃p∈C_c^∞(Ω)$ with $F=∇p$, for all $F∈H_0^1(Ω,ℝ^d)'$

Published on 27 Mar 2026 - 22:53

score 629 · Answer 4 · 2016-07-06 18:43:42

629

Views

How to show that a Schwartz distribution is in a Lebesgue or Sobolev space?

Published on 06 Jul 2016 - 18:43

score 500 · Answer 5 · 2016-07-07 12:27:45

500

Views

Distributional limit of $f_n = e^{x/n}$

Published on 07 Jul 2016 - 12:27

score 562 · Answer 6 · 2026-03-27 17:57:28

562

Views

Can we talk about the adjoint of a linear operator defined on a distribution space?

Published on 27 Mar 2026 - 17:57

score 387 · Answer 7 · 2016-07-09 11:32:12

387

Views

Proving that a function belongs in the space of tempered distributions

Published on 09 Jul 2016 - 11:32

score 1.2k · Answer 8 · 2026-03-29 11:43:03

1.2k

Views

Null space of the Laplacian operator?

Published on 29 Mar 2026 - 11:43

score 834 · Answer 9 · 2026-03-26 12:15:34

834

Views

Definition of the Laplacian as an operator from $H_0^1(\Omega)$ to $H_0^1(\Omega)'$

Published on 26 Mar 2026 - 12:15

score 1.8k · Answer 10 · 2026-03-26 12:35:44

1.8k

Views

What is the divergence of a distribution?

Published on 26 Mar 2026 - 12:35

score 126 · Answer 11 · 2016-07-11 11:50:45

126

Views

Volterra Operator on Sobolev Space

Published on 11 Jul 2016 - 11:50

score 101 · Answer 12 · 2026-03-26 12:35:49

101

Views

If $p,q$ are distributions with $\partial_ip=\partial_iq$, then $p=q$

Published on 26 Mar 2026 - 12:35

score 139 · Answer 13 · 2016-07-12 19:31:20

139

Views

$C_c^\infty(\Omega)\subseteq L^p(\Omega)$ for any open $\Omega$?

Published on 12 Jul 2016 - 19:31

score 9.5k · Answer 14 · 2026-03-27 03:49:16

9.5k

Views

how far the distribution from the uniform distribution

Published on 27 Mar 2026 - 3:49

score 245 · Answer 15 · 2026-03-29 03:21:49

245

Views

Composition with Second Derivative of Dirac Distribution

Published on 29 Mar 2026 - 3:21

List Question

$J^{-1}:\operatorname{Im}(J)\subset C_c^\infty(\Omega') \to C_c^\infty(\Omega)$ is not continuous

Fundamental solution of a first order distributional equation

Prove that $\left.F\right|_{\left\{ϕ∈C_c^∞(Ω,ℝ^d):∇⋅ϕ=0\right\}}=0⇔∃p∈C_c^∞(Ω)$ with $F=∇p$, for all $F∈H_0^1(Ω,ℝ^d)'$

How to show that a Schwartz distribution is in a Lebesgue or Sobolev space?

Distributional limit of $f_n = e^{x/n}$

Can we talk about the adjoint of a linear operator defined on a distribution space?

Proving that a function belongs in the space of tempered distributions

Null space of the Laplacian operator?

Definition of the Laplacian as an operator from $H_0^1(\Omega)$ to $H_0^1(\Omega)'$

What is the divergence of a distribution?

Volterra Operator on Sobolev Space

If $p,q$ are distributions with $\partial_ip=\partial_iq$, then $p=q$

$C_c^\infty(\Omega)\subseteq L^p(\Omega)$ for any open $\Omega$?

how far the distribution from the uniform distribution

Composition with Second Derivative of Dirac Distribution

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