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Differentiation in $L^p$ and Weak Differentiation.

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#sobolev-spaces #harmonic-analysis #weak-derivatives
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What are $\delta$-shock solutions?

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#measure-theory #partial-differential-equations #weak-derivatives #hyperbolic-equations
52
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Properties of the solution of conservation laws

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#analysis #partial-differential-equations #weak-derivatives #hyperbolic-equations
539
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Weak Jacobian of Proximal Operator

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#optimization #convex-analysis #convex-optimization #weak-derivatives #proximal-operators
153
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Weak derivative question

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#partial-differential-equations #weak-derivatives
168
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Definition of the weak derivative involving the mean curvature

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#ordinary-differential-equations #differential-geometry #curvature #weak-derivatives
473
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Truncation of a Sobolev function is still Sobolev

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#sobolev-spaces #weak-derivatives
81
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Weak differentiability vs differentiability almost everywhere

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#functional-analysis #lipschitz-functions #weak-derivatives
272
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Weak derivative of $u(x)=|x|$ not belong in $W^{1,p}(-1,1)$

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#sobolev-spaces #weak-derivatives #variational-analysis
47
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Question on defining $L^p$ weak solution

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#partial-differential-equations #weak-derivatives
3.3k
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What is the motivation of defining weak derivative as it is?

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#measure-theory #sobolev-spaces #weak-derivatives
863
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Question about to Weak derivative of $|x|$

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#sobolev-spaces #weak-derivatives
216
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Show that the variational formulation has at most one solution

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#functional-analysis #partial-differential-equations #calculus-of-variations #weak-derivatives #finite-element-method
489
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Solving a distribution differential equation

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#ordinary-differential-equations #distribution-theory #weak-derivatives
100
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Weak derivative of a Sobolev function in unbounded domains

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#compactness #sobolev-spaces #weak-derivatives

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