Question

How come, in the heat equation, the maximum can not be attained on the upper boundary of the rectangle we construct?

score 230 · Answer 1 · 2021-12-25 12:00:22

230

Views

How come, in the heat equation, the maximum can not be attained on the upper boundary of the rectangle we construct?

Published on 25 Dec 2021 - 12:00

score 118 · Answer 2 · 2021-12-27 08:14:56

118

Views

How to continue this proof for the minimum principle for Laplace's equation?

Published on 27 Dec 2021 - 8:14

score 101 · Answer 3 · 2022-01-03 06:01:21

101

Views

Bounded harmonic function in the unit disc centered at origin .

Published on 03 Jan 2022 - 6:01

score 642 · Answer 4 · 2022-01-05 13:00:40

642

Views

Holomorphic function on disk with two fixed points is identity

Published on 05 Jan 2022 - 13:00

score 146 · Answer 5 · 2022-01-10 10:34:51

146

Views

Why maximum principle holds for scalar conservation law?

Published on 10 Jan 2022 - 10:34

score 242 · Answer 6 · 2022-02-15 21:27:23

242

Views

Estimating the $L^{\infty}$-norm of a Laplacian of a function

Published on 15 Feb 2022 - 21:27

score 63 · Answer 7 · 2026-03-28 03:34:50

63

Views

Question about proof of Liouville's theorem

Published on 28 Mar 2026 - 3:34

score 76 · Answer 8 · 2022-03-06 01:11:58

76

Views

Criteria for when holomorphic functions can be approximated on a compact set

Published on 06 Mar 2022 - 1:11

score 64 · Answer 9 · 2022-03-06 16:23:09

64

Views

Proving if a certain function has a maximum inside a domain

Published on 06 Mar 2022 - 16:23

score 254 · Answer 10 · 2022-03-11 14:11:45

254

Views

Interpolation of $L^p$ spaces (from book by Caffarelli-Cabre)

Published on 11 Mar 2022 - 14:11

score 62 · Answer 11 · 2022-04-10 20:21:22

62

Views

Uniqueness of the interpolation function $B_0^{1-s} B_1^s$ appearing in the Hadamard 3-lines theorem/Lindelof theorem

Published on 10 Apr 2022 - 20:21

score 78 · Answer 12 · 2022-04-19 01:46:33

78

Views

Case where solution does not obey maximum principle

Published on 19 Apr 2022 - 1:46

score 43 · Answer 13 · 2022-04-20 08:23:12

43

Views

Quotient of solutions of a semilinear Dirichlet problem is $L^\infty$

Published on 20 Apr 2022 - 8:23

score 168 · Answer 14 · 2022-04-23 05:54:40

168

Views

Necessity of boundeness of domain in Strong Maximum Principle

Published on 23 Apr 2022 - 5:54

score 112 · Answer 15 · 2022-04-25 14:04:15

112

Views

How to use maximum principle with an equation similar to the heat equation?

Published on 25 Apr 2022 - 14:04

List Question

How come, in the heat equation, the maximum can not be attained on the upper boundary of the rectangle we construct?

How to continue this proof for the minimum principle for Laplace's equation?

Bounded harmonic function in the unit disc centered at origin .

Holomorphic function on disk with two fixed points is identity

Why maximum principle holds for scalar conservation law?

Estimating the $L^{\infty}$-norm of a Laplacian of a function

Question about proof of Liouville's theorem

Criteria for when holomorphic functions can be approximated on a compact set

Proving if a certain function has a maximum inside a domain

Interpolation of $L^p$ spaces (from book by Caffarelli-Cabre)

Uniqueness of the interpolation function $B_0^{1-s} B_1^s$ appearing in the Hadamard 3-lines theorem/Lindelof theorem

Case where solution does not obey maximum principle

Quotient of solutions of a semilinear Dirichlet problem is $L^\infty$

Necessity of boundeness of domain in Strong Maximum Principle

How to use maximum principle with an equation similar to the heat equation?

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