dirichlet problem (1 Viewer)

[funk_master81]

can anyone explain this?

The problem of finding the connection between a continuous function f on the boundary of a region R with a harmonic function taking on the value f on . In general, the problem asks if such a solution exists and, if so, if it is unique. The Dirichlet problem is extremely important in mathematical physics (Courant and Hilbert 1989, pp.*179-180 and 240; Logan 1997; Krantz 1999b).

If f is a continuous function on the boundary of the open unit disk , then define

where is the boundary of . Then u is continuous on the closed unit disk and harmonic on (Krantz 1999a, p.*93).

 

[Slidey]

Partial differential equations. Basically asks you to solve for values of the function in a region, given the value of the boundary on the region.

But this is at least 1st year university level.

 

[Rorix]

funk_master is like us except that he's not funny.

 

[Slidey]

So basically, funkmaster is (us^0 - 1).

 

[Archman]

that would be a bit weird if "us" is 0 to start with.

 

[funk_master81]

I think its more like

me
____ = x - 1
you

 

[Slidey]

that would be a bit weird if "us" is 0 to start with.

But we Are NOT zeros.

 

[mojako]

This is a computer generated message.
An excessive amount of joke has been detected in this forum.
Of course I don't sound convincing at all

 

[Rorix]

I think its more like

me
____ = x - 1
you

It took me a while to work out what the joke meant.

The x there doesn't seem to be doing anything.

It would have made more sense if you wrote like a gazillion billion or whatever
but goddamnit, you know that's not the truth.

 

[Slidey]

Where x is 1. Multiplying both sides:
me(funk)=you(us)*(x-1)
However, given x=1, x-1=0, so me(funk)=you(us)*0.
.'. me(funk)=0.