List questions from maximum-principle

398

Views

If $ u_t=u_{xx} $ and $u(x,0)=4x(1-x),~x\in [0,1],~~u(0,t)=u(1,t)=0,~t\geqslant 0$, prove $0<u<1$ for $x\in (0,1),~t>0$

Published on 02 Nov 2019 - 16:23

149

Views

Sum of squares of harmonic functions

Published on 04 Nov 2019 - 4:30

175

Views

Question about Maximum Modulus Principle applied to $|f|+|g|$

Published on 14 Nov 2019 - 1:16

128

Views

Lower and upper bounds for harmonic functions

Published on 23 Nov 2019 - 0:30

55

Views

Bounding a function using maximum principle

Published on 30 Nov 2019 - 14:52

114

Views

Exercises related to Maximum modulus theorem

Published on 12 Dec 2019 - 4:57

194

Views

Using the maximum principle on a rectangle to find properties on an infinite strip

Published on 15 Dec 2019 - 10:23

61

Views

Strong Maximum Principle: every sequence $z_n\in U$ converging to $\partial U$ or $|z_n|\to\infty$

Published on 21 Jan 2020 - 19:59

414

Views

Evans PDE, Problem 5, Chapter 2

Published on 25 Mar 2026 - 20:39

165

Views

Maximum norm of functions; real functional analysis

Published on 25 Mar 2026 - 15:49

216

Views

harmonic function with Laplace equation

Published on 10 Feb 2020 - 5:02

76

Views

prove you have found all such functions

Published on 25 Mar 2026 - 17:42

91

Views

Bound on holomorphic functions with a prescribed zero of order k

Published on 22 Feb 2020 - 15:21

55

Views

How do I prove the function $f(x,y)=(3−x−y)xy$ has a local maximum?

Published on 02 Mar 2020 - 21:38

211

Views

Greatest value of expression

Published on 16 Mar 2020 - 7:17

List Question

If $ u_t=u_{xx} $ and $u(x,0)=4x(1-x),~x\in [0,1],~~u(0,t)=u(1,t)=0,~t\geqslant 0$, prove $0<u<1$ for $x\in (0,1),~t>0$

Sum of squares of harmonic functions

Question about Maximum Modulus Principle applied to $|f|+|g|$

Lower and upper bounds for harmonic functions

Bounding a function using maximum principle

Exercises related to Maximum modulus theorem

Using the maximum principle on a rectangle to find properties on an infinite strip

Strong Maximum Principle: every sequence $z_n\in U$ converging to $\partial U$ or $|z_n|\to\infty$

Evans PDE, Problem 5, Chapter 2

Maximum norm of functions; real functional analysis

harmonic function with Laplace equation

prove you have found all such functions

Bound on holomorphic functions with a prescribed zero of order k

How do I prove the function $f(x,y)=(3−x−y)xy$ has a local maximum?

Greatest value of expression

Trending Questions

Popular # Hahtags

Popular Questions