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A question on vanishing viscosity in Evans PDE

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#partial-differential-equations #sobolev-spaces #weak-derivatives
296
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Heaviside function and weak solutions

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#partial-differential-equations #weak-derivatives
167
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Mistake in reasoning about Sobolev spaces

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#functional-analysis #sobolev-spaces #lp-spaces #distribution-theory #weak-derivatives
63
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How do I show that a distribution is a function?

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#riemannian-geometry #sobolev-spaces #distribution-theory #laplacian #weak-derivatives
1.8k
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Distributional derivative of $2$-variable indicator function

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#real-analysis #distribution-theory #weak-derivatives
943
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Weak derivative of modulus

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#functional-analysis #sobolev-spaces #weak-derivatives
1.1k
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Weak convergence and weak convergence of time derivatives

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#functional-analysis #weak-convergence #weak-derivatives
52
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Derivative is a Radon measure if time increment bounded

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#functional-analysis #measure-theory #lp-spaces #weak-derivatives
99
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Weak differentiability and diffeomorphisms

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#functional-analysis #sobolev-spaces #weak-derivatives
1.5k
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Exercise 4 chapter 7 Evans book

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#lp-spaces #weak-convergence #weak-derivatives #bochner-spaces
323
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How to handle a diffusion equation with a variable diffusion coefficient with finite elements?

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#functional-analysis #partial-differential-equations #numerical-methods #calculus-of-variations #weak-derivatives
128
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Weak chain rule the other way round.

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#real-analysis #measure-theory #sobolev-spaces #bounded-variation #weak-derivatives
4.9k
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Distributional derivative of absolute value function

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#functional-analysis #distribution-theory #weak-derivatives
110
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Is the image of gradient map from Sobolev space to Lebesgue space weakly closed?

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#functional-analysis #partial-differential-equations #sobolev-spaces #weak-convergence #weak-derivatives
75
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Calculate the weak formulation of $\int_\Omega \left(\alpha v(x) + \beta\Delta\Delta v(x)\right)w(x)dx=\int_\Omega \gamma w(x)dx$

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#ordinary-differential-equations #weak-derivatives

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