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Generalization of Hardy-Littlewood-Sobolev

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#functional-analysis #sobolev-spaces
160
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Divergence of a function product with functions in $L^\infty (\Omega)$ and $H^1(\Omega)$

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#partial-differential-equations #sobolev-spaces #distribution-theory #weak-derivatives
31
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Sobolev embeddings on compact sets

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#functional-analysis #reference-request #sobolev-spaces
202
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What is the predual space of $H_0^1(\Omega)$?

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#functional-analysis #hilbert-spaces #sobolev-spaces #dual-spaces #riesz-representation-theorem
43
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Name of function space

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#functional-analysis #sobolev-spaces
243
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Prove a function is not in a Sobolev space

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#functional-analysis #hilbert-spaces #sobolev-spaces #fourier-transform #fractional-sobolev-spaces
37
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The normal mapping of a continuous function with a weak derivative

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#real-analysis #measure-theory #partial-differential-equations #sobolev-spaces
48
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Prove that a functional on Sobolev space type is convex

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#real-analysis #convex-analysis #sobolev-spaces
89
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Convergence in Sobolev spaces implies classical convergence?

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#real-analysis #sequences-and-series #functional-analysis #sobolev-spaces
68
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Locally Sobolev function and Fourier transform in distributional sense

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#real-analysis #functional-analysis #sobolev-spaces #fourier-transform
348
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Weak formulation, divergence free

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#partial-differential-equations #sobolev-spaces
79
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How to show that $u \in W^{1,p}(\Omega)$

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#functional-analysis #partial-differential-equations #sobolev-spaces #distribution-theory
95
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Does $\Vert f\Vert_{L^\infty}^2\leq \Vert f\Vert_{L^2}\Vert f'\Vert_{L^2}$ hold?

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#measure-theory #partial-differential-equations #sobolev-spaces
41
Views

Weak formulation General concept

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#soft-question #sobolev-spaces #duality-theorems #linear-pde
53
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A question about a pointwise convergent sequence $(u_n) \subset W_0^{1,p}(I)$.

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

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