List questions from lipschitz-functions

78

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Can one use the Cauchy-Lipschitz theorem to prove that a differential equation has more than one solution

Published on 07 Oct 2022 - 21:18

310

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L-Lipschitz continious gradient f implies bounded norm of hessian

Published on 10 Oct 2022 - 15:14

208

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Are such functions Lipschitz?

Published on 11 Oct 2022 - 0:14

124

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Can a Lipschitz-continuous function take on every value more than $L$ times?

Published on 21 Oct 2022 - 15:13

23

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Prove that the function $F: D\subseteq\mathbb{R}^2 \to \mathbb{R}^2$, $F(x,y) = ( -f(x) y-g(x) , y)$ is Lipschitz.

Published on 23 Oct 2022 - 7:49

32

Views

When is the supremum of a vector field finite?

Published on 24 Oct 2022 - 11:00

62

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Is Lipschitz $f(t,x)=x^{2/3} \sin(1/x)$?

Published on 25 Oct 2022 - 12:03

110

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Concentration of measure with "average" Lipschitz constant

Published on 28 Mar 2026 - 19:36

132

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Summary of the solutions of ODE IVP

Published on 01 Apr 2026 - 0:11

82

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Is a function in Hilbert space Lipschitz continuous?

Published on 01 Nov 2022 - 20:49

104

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step size in gradient descent for convergence

Published on 02 Nov 2022 - 4:31

56

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Multivariate differentiable function on a compact is a Lipschitz function?

Published on 03 Nov 2022 - 19:48

83

Views

Why is that $|e^{-x^{2}}-e^{-y^{2}}|\leq K|x-y|$?

Published on 04 Nov 2022 - 17:39

169

Views

An attempt at showing that function is lipschitzian

Published on 05 Nov 2022 - 22:03

43

Views

Bounds on the distance moved after $t$ steps of gradient descent on a Lipschitz continous function

Published on 09 Nov 2022 - 6:40

List Question

Can one use the Cauchy-Lipschitz theorem to prove that a differential equation has more than one solution

L-Lipschitz continious gradient f implies bounded norm of hessian

Are such functions Lipschitz?

Can a Lipschitz-continuous function take on every value more than $L$ times?

Prove that the function $F: D\subseteq\mathbb{R}^2 \to \mathbb{R}^2$, $F(x,y) = ( -f(x) y-g(x) , y)$ is Lipschitz.

When is the supremum of a vector field finite?

Is Lipschitz $f(t,x)=x^{2/3} \sin(1/x)$?

Concentration of measure with "average" Lipschitz constant

Summary of the solutions of ODE IVP

Is a function in Hilbert space Lipschitz continuous?

step size in gradient descent for convergence

Multivariate differentiable function on a compact is a Lipschitz function?

Why is that $|e^{-x^{2}}-e^{-y^{2}}|\leq K|x-y|$?

An attempt at showing that function is lipschitzian

Bounds on the distance moved after $t$ steps of gradient descent on a Lipschitz continous function

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