Question

Deriving the Euler-Lagrange Equation using the Gateaux Derivative

score 429 · Answer 1 · 2019-05-16 20:55:20

429

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Deriving the Euler-Lagrange Equation using the Gateaux Derivative

Published on 16 May 2019 - 20:55

score 242 · Answer 2 · 2019-07-10 17:45:40

242

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Generalization of Fermat stationary point theorem

Published on 10 Jul 2019 - 17:45

score 180 · Answer 3 · 2019-08-05 17:45:17

180

Views

Show $\int\frac{f(u+\varepsilon v)-f(u)}\varepsilon\:{\rm d}\mu\xrightarrow{\varepsilon\to0}\int f'(u)v\:{\rm d}\mu$ for a large class of $f,u,v$

Published on 05 Aug 2019 - 17:45

score 65 · Answer 4 · 2019-08-09 17:38:51

65

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Is it possible for a function $f:\mathbb R\to\mathbb R$ to be differentiable in each direction, but not Gâteaux/Fréchet differentiable?

Published on 09 Aug 2019 - 17:38

score 289 · Answer 5 · 2019-09-24 13:21:50

289

Views

Generalisation of characterisation of continuous Fréchet-differentiability to infinite dimensions

Published on 24 Sep 2019 - 13:21

score 194 · Answer 6 · 2014-05-07 10:02:28

194

Views

What does the symbol $D_{\phi}v$ mean

Published on 07 May 2014 - 10:02

score 1.3k · Answer 7 · 2014-05-19 19:52:27

1.3k

Views

Frechet/Gateaux differentiability of an integral operator $L^2 \rightarrow R$

Published on 19 May 2014 - 19:52

score 85 · Answer 8 · 2014-06-03 15:02:43

85

Views

Simple question about convergence and Gateaux derivative

Published on 03 Jun 2014 - 15:02

score 115 · Answer 9 · 2014-07-23 15:34:10

115

Views

Identity criterion for Gateaux deriative

Published on 23 Jul 2014 - 15:34

score 1.9k · Answer 10 · 2014-12-17 17:09:27

1.9k

Views

Functional Derivative (Gateaux variation) of functional with convolution

Published on 17 Dec 2014 - 17:09

score 69 · Answer 11 · 2019-11-22 14:36:43

69

Views

Fréchet and Gateaux derivations

Published on 22 Nov 2019 - 14:36

score 79 · Answer 12 · 2019-12-15 12:12:46

79

Views

Equivalent definition of convexity with $\theta \in (0,1)$ instead of $[0,1]$.

Published on 15 Dec 2019 - 12:12

score 417 · Answer 13 · 2020-02-21 03:40:32

417

Views

Is the Gateaux differential an inner product if the Frechet derivative exists?

Published on 21 Feb 2020 - 3:40

score 344 · Answer 14 · 2020-03-27 13:27:48

344

Views

Variational derivative of derivative of $f$ with respect to $f$ at a point

Published on 27 Mar 2020 - 13:27

score 215 · Answer 15 · 2020-03-29 14:50:02

215

Views

A definition of differentiability that comprises Fréchet, Hadamard, and Gâteaux differentiability as special cases

Published on 29 Mar 2020 - 14:50

List Question

Deriving the Euler-Lagrange Equation using the Gateaux Derivative

Generalization of Fermat stationary point theorem

Show $\int\frac{f(u+\varepsilon v)-f(u)}\varepsilon\:{\rm d}\mu\xrightarrow{\varepsilon\to0}\int f'(u)v\:{\rm d}\mu$ for a large class of $f,u,v$

Is it possible for a function $f:\mathbb R\to\mathbb R$ to be differentiable in each direction, but not Gâteaux/Fréchet differentiable?

Generalisation of characterisation of continuous Fréchet-differentiability to infinite dimensions

What does the symbol $D_{\phi}v$ mean

Frechet/Gateaux differentiability of an integral operator $L^2 \rightarrow R$

Simple question about convergence and Gateaux derivative

Identity criterion for Gateaux deriative

Functional Derivative (Gateaux variation) of functional with convolution

Fréchet and Gateaux derivations

Equivalent definition of convexity with $\theta \in (0,1)$ instead of $[0,1]$.

Is the Gateaux differential an inner product if the Frechet derivative exists?

Variational derivative of derivative of $f$ with respect to $f$ at a point

A definition of differentiability that comprises Fréchet, Hadamard, and Gâteaux differentiability as special cases

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