List questions from lipschitz-functions

Published on 20 Oct 2017 - 17:27

29

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Parametric second-order nonlinear ODE

Published on 21 Oct 2017 - 10:37

374

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Lipschitz constant $k$ with respect to $y$ for $f(t,y) = te^{-y^2}$

Published on 21 Oct 2017 - 18:09

685

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Lipschitz but not differentiable $f(x,y) = x^2|y|$

Published on 21 Oct 2017 - 21:34

147

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Ιnitial Value Problem $y'=(x-y)^{1/2}$, $y(2)=2$

Published on 29 Mar 2026 - 22:13

541

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Prove a lower bound of the smooth convex function with Lipschitz continuous gradient

Published on 24 Oct 2017 - 9:31

1.2k

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Replacing expectation by Lp norm

Published on 24 Oct 2017 - 14:51

289

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Find Lipschitz constant for $F(x,y)=(x(1-ay),y(-1+bx))$

Published on 26 Oct 2017 - 22:30

80

Views

Uniqueness of solution of $y' = f(x,y)$ : $|f(x,y)-f(x,z)|\leq h(x) |y-z|$

Published on 30 Mar 2026 - 0:04

1k

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What are the properties of a function with multiple fixed points?

Published on 01 Nov 2017 - 1:47

325

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The function $f(x)=x \sin(1/x), f(0)=0$ has the Luzin N property

Published on 24 Feb 2026 - 0:31

122

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Establishing global existence

Published on 09 Nov 2017 - 5:20

100

Views

Example of nonseparable partial Lipschitz continuous gradient

Published on 11 Nov 2017 - 23:20

410

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Uniform convergence of difference quotient function implies differentiability in $\mathbb{R}^n$

Published on 11 Nov 2017 - 23:20

757

Views

Proving that, $|f'(x)-f'(y)|\le k|x-y| \implies (f'(x))^2< 2 kf(x) $

Published on 13 Nov 2017 - 15:22

List Question

lipschitz boundary from the polar parametrization

Parametric second-order nonlinear ODE

Lipschitz constant $k$ with respect to $y$ for $f(t,y) = te^{-y^2}$

Lipschitz but not differentiable $f(x,y) = x^2|y|$

Ιnitial Value Problem $y'=(x-y)^{1/2}$, $y(2)=2$

Prove a lower bound of the smooth convex function with Lipschitz continuous gradient

Replacing expectation by Lp norm

Find Lipschitz constant for $F(x,y)=(x(1-ay),y(-1+bx))$

Uniqueness of solution of $y' = f(x,y)$ : $|f(x,y)-f(x,z)|\leq h(x) |y-z|$

What are the properties of a function with multiple fixed points?

The function $f(x)=x \sin(1/x), f(0)=0$ has the Luzin N property

Establishing global existence

Example of nonseparable partial Lipschitz continuous gradient

Uniform convergence of difference quotient function implies differentiability in $\mathbb{R}^n$

Proving that, $|f'(x)-f'(y)|\le k|x-y| \implies (f'(x))^2< 2 kf(x) $

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