Question

Is the Integral Operator $L_p(\mathbb{R}^n)\ni\varphi\mapsto \int_{\mathbb{R}^n} \varphi (x) g(x) dx, g\in L_{p'}(\mathbb{R}^n)$ (Frechet-) Smooth?

score 41 · Answer 1 · 2022-02-11 00:46:31

41

Views

Is the Integral Operator $L_p(\mathbb{R}^n)\ni\varphi\mapsto \int_{\mathbb{R}^n} \varphi (x) g(x) dx, g\in L_{p'}(\mathbb{R}^n)$ (Frechet-) Smooth?

Published on 11 Feb 2022 - 0:46

score 131 · Answer 2 · 2022-02-17 02:33:30

131

Views

How do higher-order Fréchet derivatives look like in case of $f:\mathbb R \to \mathbb R, x \mapsto x^3$?

Published on 17 Feb 2022 - 2:33

score 165 · Answer 3 · 2022-02-17 13:47:18

165

Views

How to obtain integral remainder in Taylor's formula for functions between Banach spaces?

Published on 17 Feb 2022 - 13:47

score 22 · Answer 4 · 2022-03-10 22:42:10

22

Views

Deducing linear conjugacy from conjugacy of linear systems

Published on 10 Mar 2022 - 22:42

score 430 · Answer 5 · 2026-03-26 09:38:18

430

Views

Why is this functional derivative equal to $0$?

Published on 26 Mar 2026 - 9:38

score 47 · Answer 6 · 2022-04-01 15:15:26

47

Views

Fréchet derivative of $ \varphi:\mathbb R^q \to \mathbb R, g \mapsto \sum_{i=1}^n \langle g-b_i, a_i\rangle^2$

Published on 01 Apr 2022 - 15:15

score 15 · Answer 7 · 2026-03-03 23:25:15

15

Views

Range at two points of the differential of a surjective map are equal?

Published on 03 Mar 2026 - 23:25

score 49 · Answer 8 · 2022-04-12 11:53:03

49

Views

Application of the Frechet derivative

Published on 12 Apr 2022 - 11:53

score 182 · Answer 9 · 2026-03-25 22:30:48

182

Views

Fréchet derivative of the total variation norm for measures on a manifold

Published on 25 Mar 2026 - 22:30

score 137 · Answer 10 · 2022-04-16 17:35:30

137

Views

Derivative of a function from a closed Riemannian manifold to a Hilbert space

Published on 16 Apr 2022 - 17:35

score 217 · Answer 11 · 2022-04-17 20:46:53

217

Views

Chain rule and generalized composition of multilinear maps

Published on 17 Apr 2022 - 20:46

score 60 · Answer 12 · 2022-04-28 09:59:52

60

Views

Reference for chain rule for continuously Frechet differentiable maps

Published on 28 Apr 2022 - 9:59

score 69 · Answer 13 · 2022-04-29 15:45:39

69

Views

A lipschitz function $f(x)$ valued in the unit ball has almost everywhere Frechet derivative orthogonal to $f(x)$ if $\|x\|=1$.

Published on 29 Apr 2022 - 15:45

score 154 · Answer 14 · 2022-05-02 15:44:15

154

Views

Is there a sense in which a function converges to its total derivative?

Published on 02 May 2022 - 15:44

score 38 · Answer 15 · 2022-05-07 23:45:40

38

Views

Question about Frechet differentiability.

Published on 07 May 2022 - 23:45

List Question

Is the Integral Operator $L_p(\mathbb{R}^n)\ni\varphi\mapsto \int_{\mathbb{R}^n} \varphi (x) g(x) dx, g\in L_{p'}(\mathbb{R}^n)$ (Frechet-) Smooth?

How do higher-order Fréchet derivatives look like in case of $f:\mathbb R \to \mathbb R, x \mapsto x^3$?

How to obtain integral remainder in Taylor's formula for functions between Banach spaces?

Deducing linear conjugacy from conjugacy of linear systems

Why is this functional derivative equal to $0$?

Fréchet derivative of $ \varphi:\mathbb R^q \to \mathbb R, g \mapsto \sum_{i=1}^n \langle g-b_i, a_i\rangle^2$

Range at two points of the differential of a surjective map are equal?

Application of the Frechet derivative

Fréchet derivative of the total variation norm for measures on a manifold

Derivative of a function from a closed Riemannian manifold to a Hilbert space

Chain rule and generalized composition of multilinear maps

Reference for chain rule for continuously Frechet differentiable maps

A lipschitz function $f(x)$ valued in the unit ball has almost everywhere Frechet derivative orthogonal to $f(x)$ if $\|x\|=1$.

Is there a sense in which a function converges to its total derivative?

Question about Frechet differentiability.

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