Question

A bound on $|f(z)+f(-z)-2f(0)|$ when $f:D(0,1)\to D(0,1)$ is holomorphic

score 78 · Answer 1 · 2026-04-15 19:43:59

78

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A bound on $|f(z)+f(-z)-2f(0)|$ when $f:D(0,1)\to D(0,1)$ is holomorphic

Published on 15 Apr 2026 - 19:43

score 521 · Answer 2 · 2026-04-10 08:31:38

521

Views

Finding the maximum and minimum values of the Poisson Equation

Published on 10 Apr 2026 - 8:31

score 354 · Answer 3 · 2026-04-09 05:33:39

354

Views

Question about one step in the proof of the weak maximum principle for the heat equation

Published on 09 Apr 2026 - 5:33

score 496 · Answer 4 · 2026-04-12 21:18:33

496

Views

Proof $|u|\leq 1$ for pde $\Delta u=u^3-u$

Published on 12 Apr 2026 - 21:18

score 73 · Answer 5 · 2026-04-13 22:44:05

73

Views

Making a animation in Matlab, timedependent function $T\mapsto R_T$

Published on 13 Apr 2026 - 22:44

score 111 · Answer 6 · 2026-04-15 22:43:08

111

Views

Prove there is no function analytic in $\{ |z|<2 \}$ such that $f(0) = 1, f(1) = f(-1) = 0$ and $|f(z)| \le |z| +1$

Published on 15 Apr 2026 - 22:43

score 142 · Answer 7 · 2026-04-16 04:26:34

142

Views

If $f$satisfies $|f(z)|=1 \ \forall z\in A=\{z: |z| = 1 \}$ then it vanishes in $\mathbb D (0,1)$.

Published on 16 Apr 2026 - 4:26

score 180 · Answer 8 · 2026-04-15 18:05:47

180

Views

At $x_0 \in \partial \Omega$, $\text{Hess}u(x_0) = \Delta u(x_0) (\nu \otimes \nu)$, $\nu$ outer unit normal

Published on 15 Apr 2026 - 18:05

score 254 · Answer 9 · 2026-04-15 10:42:49

254

Views

Energy method for $u_{tt}-\Delta u=-u^3$ to show uniquness

Published on 15 Apr 2026 - 10:42

score 390 · Answer 10 · 2026-04-09 04:27:41

390

Views

Maximum principle proof clarification

Published on 09 Apr 2026 - 4:27

score 63 · Answer 11 · 2026-04-16 07:22:13

$f$ is bi-holomorphic between two disks $B(z_1,r_1), B(z_2,r_2)$ , continuous on $\partial B(z_1,r_1)$ and maps $f(z_1)=z_2$ then $f$ is linear

score 88 · Answer 12 · 2026-04-10 10:33:37

88

Views

Is there a maximum/minimum principle for harmonic functions on hyperbolic space?

Published on 10 Apr 2026 - 10:33

score 37 · Answer 13 · 2026-04-15 08:55:24

37

Views

Question on Parabolic PDEs: Improvement of the bound ${\vert \vert v(\cdot,t)-v_0(\cdot) \vert \vert}_{L^p}\le \hat C t^{1/q}$

Published on 15 Apr 2026 - 8:55

score 749 · Answer 14 · 2026-04-11 01:34:22

749

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Strong maximum principle for heat equation; If $u(x,t)$ is constant for times $t\leq t_0$, is $u$ also constant at times $t\geq t_0$?

Published on 11 Apr 2026 - 1:34

score 49 · Answer 15 · 2026-04-14 21:13:54

A,B,C and D vertices of a rectangle if we define a function in this region as product of the distance from $z$ to points show max f at the sides

List Question

A bound on $|f(z)+f(-z)-2f(0)|$ when $f:D(0,1)\to D(0,1)$ is holomorphic

Finding the maximum and minimum values of the Poisson Equation

Question about one step in the proof of the weak maximum principle for the heat equation

Proof $|u|\leq 1$ for pde $\Delta u=u^3-u$

Making a animation in Matlab, timedependent function $T\mapsto R_T$

Prove there is no function analytic in $\{ |z|<2 \}$ such that $f(0) = 1, f(1) = f(-1) = 0$ and $|f(z)| \le |z| +1$

If $f$satisfies $|f(z)|=1 \ \forall z\in A=\{z: |z| = 1 \}$ then it vanishes in $\mathbb D (0,1)$.

At $x_0 \in \partial \Omega$, $\text{Hess}u(x_0) = \Delta u(x_0) (\nu \otimes \nu)$, $\nu$ outer unit normal

Energy method for $u_{tt}-\Delta u=-u^3$ to show uniquness

Maximum principle proof clarification

$f$ is bi-holomorphic between two disks $B(z_1,r_1), B(z_2,r_2)$ , continuous on $\partial B(z_1,r_1)$ and maps $f(z_1)=z_2$ then $f$ is linear

Is there a maximum/minimum principle for harmonic functions on hyperbolic space?

Question on Parabolic PDEs: Improvement of the bound ${\vert \vert v(\cdot,t)-v_0(\cdot) \vert \vert}_{L^p}\le \hat C t^{1/q}$

Strong maximum principle for heat equation; If $u(x,t)$ is constant for times $t\leq t_0$, is $u$ also constant at times $t\geq t_0$?

A,B,C and D vertices of a rectangle if we define a function in this region as product of the distance from $z$ to points show max f at the sides

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