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How can you extend distributions non uniquely to sobolev spaces

Published on
#sobolev-spaces #distribution-theory #dual-spaces
216
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Weak formulation for evolution problem with non-homogeneous boundary datum

Published on
#partial-differential-equations #sobolev-spaces #parabolic-pde
168
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weakly harmonic implies derivative is too

Published on
#functional-analysis #sobolev-spaces #weak-derivatives
220
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Sobolev space on unit ball minus a line

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#sobolev-spaces #weak-derivatives
457
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Equivalent definitions of $H^1_0([0,1])$

Published on
#functional-analysis #sobolev-spaces
122
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Question on Direct Method in Calculus of Variation

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#sobolev-spaces #calculus-of-variations
83
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Why $\|v\|_{H^1}\leq \|g\|_{H^{1/2}}$ for $g\in H^{1/2}(\partial \Omega )$?

Published on
#functional-analysis #sobolev-spaces
398
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what is the intuition behind equimeasurable decreasing rearrangement of a function

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#functional-analysis #sobolev-spaces #decreasing-rearrangements
253
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Definition of a section of a vector bundle being in the Sobolev space $H^{k,r}(E)$.

Published on
#differential-geometry #riemannian-geometry #sobolev-spaces
144
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Why $\{u\in H^1(\Omega )\mid u|_{\partial \Omega }=g\}$ a hilbert space?

Published on
#hilbert-spaces #sobolev-spaces
787
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Existe a unique (weak) solution to a PDE's system with Robin condition.

Published on
#functional-analysis #partial-differential-equations #sobolev-spaces
106
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For which $ 0 \leq p \leq \infty$ does it hold that $f \in W^{1, p}(U)$?

Published on
#sobolev-spaces
179
Views

Continuity of the gradient on the boundary of a lipschitz domain

Published on
#sobolev-spaces #trace-map
212
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Best constant in the endpoint 1d Sobolev embedding

Published on
#partial-differential-equations #sobolev-spaces #calculus-of-variations #constants
135
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proof: $u \in L^q$ for all $q < \infty$

Published on
#real-analysis #proof-verification #sobolev-spaces

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