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15
87
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Sobolev space and partial derivative. Showing that $D_j:H^{s}\to H^{s-1}$.

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#sobolev-spaces
230
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A generalization of Green-Gauss divergence theorem to Sobolev functions on sets of finite perimeter

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#sobolev-spaces #geometric-measure-theory #bounded-variation #divergence-theorem #trace-map
65
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Equality in an integral estimate

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#integration #functional-analysis #analysis #partial-differential-equations #sobolev-spaces
198
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Evans PDE page 250. Smooth functions are dense in Sobolev space

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#real-analysis #calculus #partial-differential-equations #sobolev-spaces
138
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Energy Estimate for Parabolic PDE

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#partial-differential-equations #sobolev-spaces #parabolic-pde
61
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Compact Embedding of Sobolev Valued Functions

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#functional-analysis #partial-differential-equations #compactness #sobolev-spaces
71
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Can we identify weak solutions of "restarted" parabolic PDEs?

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#functional-analysis #partial-differential-equations #sobolev-spaces #parabolic-pde
113
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Continuity of P-laplacian

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#functional-analysis #banach-spaces #sobolev-spaces
62
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Example that :$u\in C^\infty(U)$ not $u \in C^\infty(\overline{U})$ for elliptic equation

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#functional-analysis #partial-differential-equations #sobolev-spaces
94
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How can we construct a compactly supported function which is equal to $1$ on a given interval?

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#real-analysis #sobolev-spaces #smooth-functions
918
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Characterization of functions in the Sobolev space $H_0^2(U)$ as zero trace functions in $H^2(U)$

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#functional-analysis #partial-differential-equations #reference-request #sobolev-spaces #trace-map
308
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Product of two functions in $H^1$

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#functional-analysis #sobolev-spaces
67
Views

Surjectivity of trace operator for intersection of two (fractional) Sobolev spaces

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#functional-analysis #sobolev-spaces #harmonic-analysis #fractional-sobolev-spaces #trace-map
386
Views

Estimate on $H^1$ seminorm in finite element context

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#multivariable-calculus #numerical-methods #sobolev-spaces #finite-element-method
54
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Is this a Sobolev space?

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#functional-analysis #sobolev-spaces

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