List questions from lipschitz-functions

59

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Prove the inequality that the function f is differentiable and the derivative is Lipschitz continuous.

Published on 15 Aug 2020 - 11:48

703

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$f$ is Lipschitz if and only if there exists $L\geq0$ such that $|f'(x)|\leq L$

Published on 17 Aug 2020 - 2:09

46

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Some Growth Conditions and Locally Lipschitz

Published on 30 Mar 2026 - 3:37

118

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Prove Lipschitzianity of a function

Published on 19 Aug 2020 - 15:49

125

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Prove existence and uniqueness for a Cauchy problem

Published on 19 Aug 2020 - 17:31

87

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Verify Lipschitz condition of $f(t,x)=t^3e^{-tx^2}$, $(t,x)\in [0,1]\times \mathbb{R}$

Published on 20 Aug 2020 - 1:09

66

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Cauchy problem with a parameter on the initial data

Published on 25 Mar 2026 - 19:51

344

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Discuss existence and uniqueness for a Cauchy problem

Published on 25 Mar 2026 - 19:59

40

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E^2={x^2:x∈E}.Prove that E^2 is measurable whenever E is a measurable subset of R.

Published on 31 Mar 2026 - 3:34

68

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Show sublinearity of the function for a second order Cauchy problem

Published on 25 Mar 2026 - 19:51

133

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Function $f$ such that $|f(x)-f(y)|\leq \sqrt {|x-y|}, \forall x,y\in\Bbb R.$

Published on 29 Mar 2026 - 8:16

160

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The isometries are embedding locally lipschitz

Published on 30 Mar 2026 - 3:00

159

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Are lattice operations continuous in the Lipschitz norm?

Published on 25 Mar 2026 - 18:47

99

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Holder estimate on ball from estimate in full space

Published on 29 Mar 2026 - 8:18

139

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Is $\frac{u}{|u|}$ 1- Lipschitz?

Published on 01 Sep 2020 - 5:50

List Question

Prove the inequality that the function f is differentiable and the derivative is Lipschitz continuous.

$f$ is Lipschitz if and only if there exists $L\geq0$ such that $|f'(x)|\leq L$

Some Growth Conditions and Locally Lipschitz

Prove Lipschitzianity of a function

Prove existence and uniqueness for a Cauchy problem

Verify Lipschitz condition of $f(t,x)=t^3e^{-tx^2}$, $(t,x)\in [0,1]\times \mathbb{R}$

Cauchy problem with a parameter on the initial data

Discuss existence and uniqueness for a Cauchy problem

E^2={x^2:x∈E}.Prove that E^2 is measurable whenever E is a measurable subset of R.

Show sublinearity of the function for a second order Cauchy problem

Function $f$ such that $|f(x)-f(y)|\leq \sqrt {|x-y|}, \forall x,y\in\Bbb R.$

The isometries are embedding locally lipschitz

Are lattice operations continuous in the Lipschitz norm?

Holder estimate on ball from estimate in full space

Is $\frac{u}{|u|}$ 1- Lipschitz?

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