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Differentiability of solution to ODE

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#real-analysis #integration #ordinary-differential-equations #partial-differential-equations #sobolev-spaces
90
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Find $f$ such that : $f$ is absolutely integrable, $f'$ is absolutely integrable and such that $f$ is not $1/2$-Hölder

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#calculus #real-analysis #integration #indefinite-integrals #sobolev-spaces
70
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Demicontinuity implies continuity

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#functional-analysis #analysis #partial-differential-equations #sobolev-spaces
137
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Trivial Embeddings in Morrey & Campanato spaces

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#functional-analysis #analysis #partial-differential-equations #sobolev-spaces
569
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hard exercice in Lieb--Loss Analysis book

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#functional-analysis #sobolev-spaces
274
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How is the differential of a Sobolev function on a manifold regarded as an a.e. defined section of $T^*M$?

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#differential-geometry #differential-topology #sobolev-spaces #smooth-manifolds #weak-derivatives
55
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Prove these two functions are in $H^2(\mathbb{R}^n)$

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#functional-analysis #analysis #sobolev-spaces
42
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Integral in termsof supremum

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#real-analysis #functional-analysis #partial-differential-equations #sobolev-spaces
35
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Proving uniform boundedness

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#real-analysis #functional-analysis #sobolev-spaces
39
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Question on optimal regularity for the elliptic Neumann problem

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#partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #elliptic-equations
132
Views

Estimate on average with weight

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#functional-analysis #analysis #partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes
208
Views

Question on Sobolev extension onto boundary

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#functional-analysis #partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #trace-map
73
Views

Coercive bilinear form for maximum norm

Published on
#sobolev-spaces #normed-spaces #lp-spaces #upper-lower-bounds
175
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Extended Global Approximation Theorem

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#analysis #partial-differential-equations #sobolev-spaces #approximation-theory
98
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Increasing property of solution of heat equation

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#functional-analysis #partial-differential-equations #sobolev-spaces #heat-equation

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