Question

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

score 75 · Answer 1 · 2019-05-17 14:12:52

75

Views

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

Published on 17 May 2019 - 14:12

score 518 · Answer 2 · 2019-05-19 04:44:16

518

Views

Finding the maximum and minimum values of the Poisson Equation

Published on 19 May 2019 - 4:44

score 351 · Answer 3 · 2019-05-20 18:33:04

351

Views

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

Published on 20 May 2019 - 18:33

score 493 · Answer 4 · 2019-06-12 20:56:29

493

Views

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

Published on 12 Jun 2019 - 20:56

score 70 · Answer 5 · 2019-06-13 08:33:15

70

Views

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

Published on 13 Jun 2019 - 8:33

score 108 · Answer 6 · 2019-06-16 17:41:09

108

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 16 Jun 2019 - 17:41

score 139 · Answer 7 · 2019-06-17 15:42:49

139

Views

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

Published on 17 Jun 2019 - 15:42

score 177 · Answer 8 · 2019-06-18 12:44:46

177

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 18 Jun 2019 - 12:44

score 251 · Answer 9 · 2019-06-18 19:24:03

251

Views

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

Published on 18 Jun 2019 - 19:24

score 387 · Answer 10 · 2019-06-23 20:33:45

387

Views

Maximum principle proof clarification

Published on 23 Jun 2019 - 20:33

score 60 · Answer 11 · 2019-07-07 06:00:01

$f$ 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 86 · Answer 12 · 2019-07-07 09:53:30

86

Views

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

Published on 07 Jul 2019 - 9:53

score 35 · Answer 13 · 2026-03-25 08:13:43

35

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 25 Mar 2026 - 8:13

score 746 · Answer 14 · 2019-07-11 21:52:51

746

Views

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 Jul 2019 - 21:52

score 46 · Answer 15 · 2019-07-15 23:32:11

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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