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15
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Elliptic lifting theorem of Laplace-Beltrami Operator.

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#differential-geometry #partial-differential-equations #sobolev-spaces #fractional-sobolev-spaces #elliptic-operators
37
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$W^{2,2} \subset W^{1,p}$ for same $p > 2$?

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#partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #linear-pde #fractional-sobolev-spaces
195
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Cauchy principal in the definition of fractional laplacian

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#fractional-calculus #cauchy-principal-value #fractional-sobolev-spaces
49
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Application for the trace inequality.

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#partial-differential-equations #sobolev-spaces #trace #boundary-value-problem #fractional-sobolev-spaces
38
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Inequality $(\alpha f,g)_{L^2}\leq C\|\alpha\|_{W}\|f\|_{H^{1/2}}\|g\|_{H^{3/2}}$

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#real-analysis #functional-analysis #inequality #sobolev-spaces #fractional-sobolev-spaces
907
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The trace theorem for functions in $H^{1/2}(\Omega)$

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#functional-analysis #inequality #sobolev-spaces #fractional-sobolev-spaces #trace-map
90
Views

About the continuity of the integral on the boundary of a ball of a $H^1$ function

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#real-analysis #integration #sobolev-spaces #regularity-theory-of-pdes #fractional-sobolev-spaces
202
Views

Interpolation of Bochner-Sobolev spaces

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#sobolev-spaces #fractional-sobolev-spaces #interpolation-theory
31
Views

Can we use Newton-Leibnitz for $W^{1,p}$ function

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#real-analysis #partial-differential-equations #sobolev-spaces #fractional-sobolev-spaces
153
Views

A coercive bilinear form

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#functional-analysis #partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #fractional-sobolev-spaces
140
Views

Function in $H^1(\mathbb{R})$

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#functional-analysis #hilbert-spaces #sobolev-spaces #fourier-transform #fractional-sobolev-spaces
525
Views

Relationship between Sobolev-Slobodeckij spaces and Besov spaces

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#real-analysis #functional-analysis #partial-differential-equations #sobolev-spaces #fractional-sobolev-spaces
70
Views

Sobolev inequality for cubes

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#functional-analysis #partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #fractional-sobolev-spaces
157
Views

Weak convergence in $H^1(\mathbb{R}^N)$ implies weak convergente in $H^1(B)$

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#real-analysis #functional-analysis #partial-differential-equations #sobolev-spaces #fractional-sobolev-spaces
104
Views

Elliptic regularity with right-hand side in $H^{-1/2}$

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#sobolev-spaces #laplacian #regularity-theory-of-pdes #elliptic-equations #fractional-sobolev-spaces

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