Question

Let $f:(a,b) \to \mathbb{R}$ to be differentiable and unbounded. Prove: $f'$ is not bounded on $(a,b)$

score 1.9k · Answer 1 · 2018-10-27 14:13:27

1.9k

Views

Let $f:(a,b) \to \mathbb{R}$ to be differentiable and unbounded. Prove: $f'$ is not bounded on $(a,b)$

Published on 27 Oct 2018 - 14:13

score 24 · Answer 2 · 2018-10-27 15:35:09

24

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Lipschitz-type estimate for a function of two variables

Published on 27 Oct 2018 - 15:35

score 36 · Answer 3 · 2018-10-28 16:45:34

36

Views

Proving existence and uniqueness of solutions of this IVP: $x'(t)=f(x(t))+\sin(t)$, with $x(0)=0$ and $f\in C^2$

Published on 28 Oct 2018 - 16:45

score 268 · Answer 4 · 2018-10-29 14:22:02

268

Views

Finding a Lipschitz constant $k$ for this function

Published on 29 Oct 2018 - 14:22

score 75 · Answer 5 · 2018-10-30 16:36:08

75

Views

Best Lipschitz constant for IVP with two variables $u$ and $t$ with an initial condition and interval for $t$?

Published on 30 Oct 2018 - 16:36

score 36 · Answer 6 · 2018-11-01 01:56:24

36

Views

If $f$ is Lipschitz, $\phi$ is a solution of $x'=f(x)$, and $f(t,H(x))=DH(x)\cdot f(t,x)$ then $\phi(t,t_0,H(x))=H(\phi(t,t_0,x_0))$

Published on 01 Nov 2018 - 1:56

score 40 · Answer 7 · 2018-11-01 15:06:23

40

Views

Given a $W^{1,\infty}$ function and a convex set , how can we find a Lipschitz function?

Published on 01 Nov 2018 - 15:06

score 200 · Answer 8 · 2018-11-02 18:34:17

200

Views

Show that set of functions with Lipschitz constant $\leq n$ has no interior in $(C[0,1],\Vert \cdot \Vert_\infty)$

Published on 02 Nov 2018 - 18:34

score 561 · Answer 9 · 2018-11-04 20:24:22

561

Views

Lipschitz constant of difference of convex functions

Published on 04 Nov 2018 - 20:24

score 144 · Answer 10 · 2026-03-25 04:40:49

144

Views

Finding lipschitz bound for $F(x_1,\ldots,x_n) = (\tanh(x_1),\dots,\tanh(x_n))$

Published on 25 Mar 2026 - 4:40

score 37 · Answer 11 · 2018-11-05 09:59:19

37

Views

Extension of a real valued function preserving given properties

Published on 05 Nov 2018 - 9:59

score 1.1k · Answer 12 · 2018-11-05 19:41:44

1.1k

Views

Reverse Lipschitz condition

Published on 05 Nov 2018 - 19:41

score 246 · Answer 13 · 2018-11-07 15:53:42

246

Views

All quasi-isometry is coarsely surjective.

Published on 07 Nov 2018 - 15:53

score 35 · Answer 14 · 2018-11-09 15:09:09

35

Views

Is integrability a sufficient condition for boundness?

Published on 09 Nov 2018 - 15:09

score 61 · Answer 15 · 2018-11-10 17:11:05

61

Views

Delone sets in $\mathbb{R}$ are bi-Lipschitz equivalent

Published on 10 Nov 2018 - 17:11

List Question

Let $f:(a,b) \to \mathbb{R}$ to be differentiable and unbounded. Prove: $f'$ is not bounded on $(a,b)$

Lipschitz-type estimate for a function of two variables

Proving existence and uniqueness of solutions of this IVP: $x'(t)=f(x(t))+\sin(t)$, with $x(0)=0$ and $f\in C^2$

Finding a Lipschitz constant $k$ for this function

Best Lipschitz constant for IVP with two variables $u$ and $t$ with an initial condition and interval for $t$?

If $f$ is Lipschitz, $\phi$ is a solution of $x'=f(x)$, and $f(t,H(x))=DH(x)\cdot f(t,x)$ then $\phi(t,t_0,H(x))=H(\phi(t,t_0,x_0))$

Given a $W^{1,\infty}$ function and a convex set , how can we find a Lipschitz function?

Show that set of functions with Lipschitz constant $\leq n$ has no interior in $(C[0,1],\Vert \cdot \Vert_\infty)$

Lipschitz constant of difference of convex functions

Finding lipschitz bound for $F(x_1,\ldots,x_n) = (\tanh(x_1),\dots,\tanh(x_n))$

Extension of a real valued function preserving given properties

Reverse Lipschitz condition

All quasi-isometry is coarsely surjective.

Is integrability a sufficient condition for boundness?

Delone sets in $\mathbb{R}$ are bi-Lipschitz equivalent

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