Question

How can we compute the maximum of $|\zeta(z)|$ on the square with vertices $2,3,3+i$ and $2+i$?

score 76 · Answer 1 · 2016-03-02 15:43:40

How can we compute the maximum of $|\zeta(z)|$ on the square with vertices $2,3,3+i$ and $2+i$?

Published on 02 Mar 2016 - 15:43

score 178 · Answer 2 · 2016-03-16 04:11:36

(without Phragmén-Lindelöf) $f$ is of exponential type and bounded on the real axis, then there exists $C>0$ such that $|f(x+iy)|\leq Ce^{\tau |y|}$

score 308 · Answer 3 · 2016-03-29 20:14:57

308

Views

Analytic function on the annulus $A = \{z : 1 \le |z| \le 4\}$ onto $B = \{z : 1 \le |z| \le 2\}$ s.t. $C_1 \to C_1$, $C_4 \to C_2$?

Published on 29 Mar 2016 - 20:14

score 97 · Answer 4 · 2016-03-30 23:41:20

97

Views

Why $\frac{\partial u}{\partial \nu} \ge 0$ at the maximum point?

Published on 30 Mar 2016 - 23:41

score 168 · Answer 5 · 2016-03-31 13:59:19

168

Views

$L^\infty$ bound on solution of $u_t - \Delta u + cu = f$ and dependence on $c > 0$

Published on 31 Mar 2016 - 13:59

score 108 · Answer 6 · 2016-04-04 18:30:27

108

Views

Dirichlet problem of second-order elliptic PDE on unbounded open set

Published on 04 Apr 2016 - 18:30

score 168 · Answer 7 · 2026-03-25 16:29:23

168

Views

On the curve $y =\frac{ 2x - 1} {x - 1}$ , $x > 1$ drag tangent such that area of right triangle bounded by this tangent and the axes is minimal .

Published on 25 Mar 2026 - 16:29

score 219 · Answer 8 · 2016-04-21 17:37:15

219

Views

Sign of coefficient in the weak maximum principle

Published on 21 Apr 2016 - 17:37

score 196 · Answer 9 · 2016-04-22 10:16:08

196

Views

Strong maximum principle for heat equation

Published on 22 Apr 2016 - 10:16

score 172 · Answer 10 · 2016-05-01 13:52:13

172

Views

Diffusion/Heat equation, weak maximum principle

Published on 01 May 2016 - 13:52

score 109 · Answer 11 · 2016-05-06 02:18:00

109

Views

Taylor expansion in proof of weak maximum principle

Published on 06 May 2016 - 2:18

score 590 · Answer 12 · 2016-05-12 19:10:13

590

Views

The Maximum Modulus Principle Applied to the Proof of Schwarz Lemma

Published on 12 May 2016 - 19:10

score 1.5k · Answer 13 · 2016-06-08 13:30:56

1.5k

Views

A comparison principle for a nonlinear parabolic PDE

Published on 08 Jun 2016 - 13:30

score 168 · Answer 14 · 2016-06-12 11:37:31

168

Views

Maximum principle and open mapping theorem

Published on 12 Jun 2016 - 11:37

score 783 · Answer 15 · 2016-06-13 18:00:16

783

Views

Maximum and minimum modulus principle

Published on 13 Jun 2016 - 18:00

List Question

How can we compute the maximum of $|\zeta(z)|$ on the square with vertices $2,3,3+i$ and $2+i$?

(without Phragmén-Lindelöf) $f$ is of exponential type and bounded on the real axis, then there exists $C>0$ such that $|f(x+iy)|\leq Ce^{\tau |y|}$

Analytic function on the annulus $A = \{z : 1 \le |z| \le 4\}$ onto $B = \{z : 1 \le |z| \le 2\}$ s.t. $C_1 \to C_1$, $C_4 \to C_2$?

Why $\frac{\partial u}{\partial \nu} \ge 0$ at the maximum point?

$L^\infty$ bound on solution of $u_t - \Delta u + cu = f$ and dependence on $c > 0$

Dirichlet problem of second-order elliptic PDE on unbounded open set

On the curve $y =\frac{ 2x - 1} {x - 1}$ , $x > 1$ drag tangent such that area of right triangle bounded by this tangent and the axes is minimal .

Sign of coefficient in the weak maximum principle

Strong maximum principle for heat equation

Diffusion/Heat equation, weak maximum principle

Taylor expansion in proof of weak maximum principle

The Maximum Modulus Principle Applied to the Proof of Schwarz Lemma

A comparison principle for a nonlinear parabolic PDE

Maximum principle and open mapping theorem

Maximum and minimum modulus principle

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