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Prove $\|{v}\|_{W^{m,p}(T)} \le C|T|^{1/p - 1/q} \cdot h_{T}^{-m} \cdot \|{v}\|_{L^{q}(T)}$

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#numerical-methods #sobolev-spaces
200
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Range of the Dirac operator on the real line closed?

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#real-analysis #functional-analysis #sobolev-spaces
391
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find a weak solution in an intersection of Sobolev spaces

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#functional-analysis #partial-differential-equations #hilbert-spaces #sobolev-spaces
47
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Time continuity of a solution to the generalized porous medium equation

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#reference-request #partial-differential-equations #sobolev-spaces
348
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Showing that function are equal almost everywhere in Sobolev Spaces

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#functional-analysis #convergence-divergence #sobolev-spaces #normed-spaces #holder-spaces
4.1k
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Prove Friedrichs' inequality

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#ordinary-differential-equations #inequality #sobolev-spaces #integral-inequality
138
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(Sobolev space) A star domain in $\Bbb R^n$

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#ordinary-differential-equations #sobolev-spaces
1k
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Using the Sobolev-Nirenberg-Gagliardo inequality in a proof

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#functional-analysis #inequality #sobolev-spaces #normed-spaces
2k
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Is $L^2(\Omega)$ dense in $H^{-1}(\Omega)$?

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#functional-analysis #hilbert-spaces #sobolev-spaces
3.9k
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Gagliardo-Nirenberg interpolation inequalities on a bounded domain

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#functional-analysis #sobolev-spaces
713
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Using Sobolev-Nirenberg-Gagliardo

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#functional-analysis #inequality #sobolev-spaces
953
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Definition of weak solution in $W^{1,2}(\Omega)$.

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#functional-analysis #ordinary-differential-equations #partial-differential-equations #sobolev-spaces
2.2k
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Evans PDE p.308 Exercise 16 (2nd ed)

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#inequality #partial-differential-equations #sobolev-spaces
410
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$W^2_p$ regularity of solutions of linear elasticity

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#partial-differential-equations #sobolev-spaces
42
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Weak convergence version of sobolev multiplication theorem

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#sobolev-spaces #weak-convergence

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