Question

Show $[\log(V(r))]' \to -\infty$ for $V(r) > 0$ monotone decreasing and $r$ tending to boundary of support of $V$

score 119 · Answer 1 · 2023-08-16 01:12:32

119

Views

Show $[\log(V(r))]' \to -\infty$ for $V(r) > 0$ monotone decreasing and $r$ tending to boundary of support of $V$

Published on 16 Aug 2023 - 1:12

score 89 · Answer 2 · 2023-08-19 10:30:35

89

Views

Is the set open or closed?

Published on 19 Aug 2023 - 10:30

score 273 · Answer 3 · 2023-08-20 03:53:05

273

Views

Why are coordinate maps diffeomorphisms? (A seeming counterexample?)

Published on 20 Aug 2023 - 3:53

score 20 · Answer 4 · 2023-08-21 06:33:23

20

Views

Gradient of smooth function vanishes

Published on 21 Aug 2023 - 6:33

score 96 · Answer 5 · 2023-08-21 17:15:22

96

Views

Exact meaning of compactly supported smooth function - support can be any measurable compact set?

Published on 21 Aug 2023 - 17:15

score 136 · Answer 6 · 2023-08-21 21:38:04

136

Views

Smoothness of a map to a cartesian product

Published on 21 Aug 2023 - 21:38

score 82 · Answer 7 · 2023-08-24 10:24:03

82

Views

Compact Embedding/ Sobolev's Theorem

Published on 24 Aug 2023 - 10:24

score 129 · Answer 8 · 2026-03-25 20:35:49

129

Views

Show that a nonlocal operator with symmetric kernel is well defined

Published on 25 Mar 2026 - 20:35

score 90 · Answer 9 · 2023-08-26 21:27:35

90

Views

Finding smooth function whose zero set is a given closed set.

Published on 26 Aug 2023 - 21:27

score 86 · Answer 10 · 2023-08-27 15:03:26

86

Views

Find topologies that characterise smoothness

Published on 27 Aug 2023 - 15:03

score 82 · Answer 11 · 2023-08-29 15:53:54

82

Views

Pointwise a.e. approximation by a sequence of smooth functions with supremum bound

Published on 29 Aug 2023 - 15:53

score 113 · Answer 12 · 2023-08-30 00:02:37

113

Views

Properly interpreting propositions 2.5 and 2.6 in Lee's Introduction to Smooth Manifolds

Published on 30 Aug 2023 - 0:02

score 261 · Answer 13 · 2023-09-03 08:20:10

261

Views

Motivation for Lee's definition of smooth map

Published on 03 Sep 2023 - 8:20

score 75 · Answer 14 · 2023-09-04 01:21:40

75

Views

Can the gluing lemma also hold for smooth maps that agree on closed sets?

Published on 04 Sep 2023 - 1:21

score 32 · Answer 15 · 2023-09-11 18:16:58

32

Views

smoothness of map from general linear group to symmetric matrices (manifolds)

Published on 11 Sep 2023 - 18:16

List Question

Show $[\log(V(r))]' \to -\infty$ for $V(r) > 0$ monotone decreasing and $r$ tending to boundary of support of $V$

Is the set open or closed?

Why are coordinate maps diffeomorphisms? (A seeming counterexample?)

Gradient of smooth function vanishes

Exact meaning of compactly supported smooth function - support can be any measurable compact set?

Smoothness of a map to a cartesian product

Compact Embedding/ Sobolev's Theorem

Show that a nonlocal operator with symmetric kernel is well defined

Finding smooth function whose zero set is a given closed set.

Find topologies that characterise smoothness

Pointwise a.e. approximation by a sequence of smooth functions with supremum bound

Properly interpreting propositions 2.5 and 2.6 in Lee's Introduction to Smooth Manifolds

Motivation for Lee's definition of smooth map

Can the gluing lemma also hold for smooth maps that agree on closed sets?

smoothness of map from general linear group to symmetric matrices (manifolds)

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