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15
Math.TechQA.Club
2017-01-19 14:11:06
137
Views
Show that $|a(u,v)|\leq M\|u\|\|v\|$ and $|a(v,v)|\geq \nu\|v\|^2$ on $H_0^1(\Omega )$.
Published on
19 Jan 2017 - 14:11
#real-analysis
#partial-differential-equations
#sobolev-spaces
58
Views
The $BV$ minimizing problem depends on a moving domain.
Published on
26 Mar 2026 - 22:17
#functional-analysis
#partial-differential-equations
#sobolev-spaces
#bounded-variation
96
Views
Could someone explain me how work mollifier ?
Published on
20 Jan 2017 - 9:28
#real-analysis
#sobolev-spaces
1.2k
Views
Piecewise continuously differentiable functions with bounded support have weak derivative
Published on
26 Mar 2026 - 16:10
#functional-analysis
#sobolev-spaces
#weak-derivatives
127
Views
How to check that function is in $W^{1,p}$ and not in $L^q$?
Published on
03 Apr 2026 - 6:19
#functional-analysis
#special-functions
#sobolev-spaces
63
Views
Sequence in $L^2(R^2)$
Published on
31 Mar 2026 - 15:15
#functional-analysis
#spectral-theory
#sobolev-spaces
594
Views
How can we show that $L^2$ is densely embedded into $H^{-1}$?
Published on
27 Mar 2026 - 1:46
#functional-analysis
#sobolev-spaces
#duality-theorems
55
Views
How can we show that $-\Delta:H_0^1(\Lambda)\to H^{-1}(\Lambda)$ is an isomorphism between $H_0^1(\Lambda)$ and $H^{-1}(\Lambda)$?
Published on
27 Mar 2026 - 0:10
#functional-analysis
#proof-verification
#sobolev-spaces
#duality-theorems
#laplacian
84
Views
Equivalence of two definitions of $H^{1/2}$: via a double integral and Fourier series
Published on
22 Jan 2017 - 17:18
#fourier-analysis
#fourier-series
#sobolev-spaces
296
Views
Confusion about local approximation in Sobolev spaces
Published on
24 Jan 2017 - 16:05
#functional-analysis
#partial-differential-equations
#sobolev-spaces
57
Views
Sobolev spaces, density
Published on
25 Jan 2017 - 2:10
#functional-analysis
#analysis
#ordinary-differential-equations
#sobolev-spaces
224
Views
Precise statement of the general Sobolev inequalities
Published on
25 Jan 2017 - 20:21
#sobolev-spaces
52
Views
Dualty is Sobolev spaces
Published on
26 Jan 2017 - 11:46
#sobolev-spaces
51
Views
When is the Gaussian function $e^{-|\cdot|}$ in $W^{k,p}$?
Published on
26 Mar 2026 - 22:48
#integration
#sobolev-spaces
#spherical-coordinates
#gaussian-integral
68
Views
Help understanding an allegedly "trivial" estimate, that improves Poincaré ineq. on a ball?
Published on
29 Jan 2017 - 4:56
#real-analysis
#partial-differential-equations
#sobolev-spaces
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