Question

Is $\ln|z|$ harmonic in the punctured disk

score 261 · Answer 1 · 2026-03-23 17:29:16

261

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Is $\ln|z|$ harmonic in the punctured disk

Published on 23 Mar 2026 - 17:29

score 69 · Answer 2 · 2026-03-23 20:15:06

69

Views

Is $(-1)^x$ multivalued?

Published on 23 Mar 2026 - 20:15

score 271 · Answer 3 · 2026-03-23 23:01:15

271

Views

Michael's selection theorem

Published on 23 Mar 2026 - 23:01

score 1.6k · Answer 4 · 2026-03-23 23:00:10

1.6k

Views

Logarithm being a multivalued function

Published on 23 Mar 2026 - 23:00

score 214 · Answer 5 · 2026-03-24 10:47:32

214

Views

Proving that the composition of a harmonic function and a Cauchy-Riemann mapping is harmonic

Published on 24 Mar 2026 - 10:47

score 38 · Answer 6 · 2026-03-24 13:34:06

38

Views

Why can't these two mappings be bijective?

Published on 24 Mar 2026 - 13:34

score 196 · Answer 7 · 2026-03-24 05:08:06

196

Views

Local Maximum Point; Global Maximum Point

Published on 24 Mar 2026 - 5:08

score 204 · Answer 8 · 2026-03-24 07:40:16

204

Views

Chain rule for direction derivative with multivariate and vector-valued functions

Published on 24 Mar 2026 - 7:40

score 38 · Answer 9 · 2026-03-24 02:48:05

38

Views

Question regarding Inequation with multivariable functions

Published on 24 Mar 2026 - 2:48

score 59 · Answer 10 · 2026-03-24 08:33:58

59

Views

How do we call a multi-valued operator $L$ with $∃c>0:∀y\in Y:∃x\in X:(x,y)\in L\text{ and }\left\|x\right\|_X\le c\left\|y\right\|_Y$?

Published on 24 Mar 2026 - 8:33

score 20 · Answer 11 · 2026-03-24 12:39:04

20

Views

If $A_0=\{(x,y)∈\overline A:y∈\overline{D(A)}\}$, then $R(λ-A_0)=\overline{D(A)}$ if and only if $R(λ-\overline A)⊇\overline{D(A)}$

Published on 24 Mar 2026 - 12:39

score 29 · Answer 12 · 2026-03-24 06:31:23

29

Views

Show that this multi-valued operator is surjective (Theorem 1.6.9 of Ethier and Kurtz)

Published on 24 Mar 2026 - 6:31

score 81 · Answer 13 · 2019-06-12 11:15:39

81

Views

Show that the semigroup given by the product of two semigroups is generated by the product of the generators

Published on 12 Jun 2019 - 11:15

score 34 · Answer 14 · 2026-03-24 07:24:50

34

Views

Show an inclusion for the range of a multi-valued dissipative operator

Published on 24 Mar 2026 - 7:24

score 59 · Answer 15 · 2026-03-23 20:26:17

59

Views

Showing the equivalence of directional derivative with total derivative multiplied with direction in $\mathbb R^n$

Published on 23 Mar 2026 - 20:26

List Question

Is $\ln|z|$ harmonic in the punctured disk

Is $(-1)^x$ multivalued?

Michael's selection theorem

Logarithm being a multivalued function

Proving that the composition of a harmonic function and a Cauchy-Riemann mapping is harmonic

Why can't these two mappings be bijective?

Local Maximum Point; Global Maximum Point

Chain rule for direction derivative with multivariate and vector-valued functions

Question regarding Inequation with multivariable functions

How do we call a multi-valued operator $L$ with $∃c>0:∀y\in Y:∃x\in X:(x,y)\in L\text{ and }\left\|x\right\|_X\le c\left\|y\right\|_Y$?

If $A_0=\{(x,y)∈\overline A:y∈\overline{D(A)}\}$, then $R(λ-A_0)=\overline{D(A)}$ if and only if $R(λ-\overline A)⊇\overline{D(A)}$

Show that this multi-valued operator is surjective (Theorem 1.6.9 of Ethier and Kurtz)

Show that the semigroup given by the product of two semigroups is generated by the product of the generators

Show an inclusion for the range of a multi-valued dissipative operator

Showing the equivalence of directional derivative with total derivative multiplied with direction in $\mathbb R^n$

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