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Extending by zero a Sobolev function

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#sobolev-spaces #integral-inequality
60
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Identification of $L^2$ limits with distributional convergence

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#proof-verification #sobolev-spaces #lebesgue-integral #distribution-theory
551
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minimizes the functional to solve a pde

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#partial-differential-equations #sobolev-spaces
827
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What does it mean for a distribution to be in $L_2$?

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#sobolev-spaces #distribution-theory
244
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Isomorphism between Sobolev space and L^p

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#partial-differential-equations #sobolev-spaces
708
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Having trouble understanding the finite element method

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#numerical-methods #sobolev-spaces #finite-differences
309
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Functions of Sobolev space with asymptotic decay

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#sobolev-spaces
399
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Why is this estimate using a compact embedding in a sobolev space true?

Published on
#functional-analysis #sobolev-spaces #compact-operators
192
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how to prove that this weak solution is subharmonic?

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#reference-request #partial-differential-equations #sobolev-spaces
626
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Poincaré inequality for a subspace of $H^2(\Omega)$

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#functional-analysis #inequality #hilbert-spaces #sobolev-spaces
701
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Definition of fractional Laplacian on a compact manifold?

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#partial-differential-equations #manifolds #sobolev-spaces #fractional-calculus
603
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Some properties of capacity

Published on
#analysis #sobolev-spaces #potential-theory
380
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Subdifferential boundary conditions: Testing with $L^2$ or $H^{1/2}$ functions

Published on
#convex-analysis #sobolev-spaces #approximation
59
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Composition with exponent Sobolev Space

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#sobolev-spaces #function-and-relation-composition
108
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Sobolev space-exercice

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#functional-analysis #sobolev-spaces #weak-derivatives

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