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 Jianfeng Xia April 7, 2005 12:01

how can solve this equation

I have to a equation , but I don't known how to solve it stable.

Is there anyone can help me , Thank you very much

 Junseok Kim April 8, 2005 13:50

Re: how can solve this equation

Could you make it ps or pdf file using latex, so that easy to look at the equation. It is hard to visualize the equation unless I rewrite it again.

You can post it on your website and put the link here.

Kim

 Jianfeng Xia April 8, 2005 13:55

Re: how can solve this equation

Thanks a lot, But I have no my own website.

Can I set pdf file to your email box?

 Junseok Kim April 8, 2005 13:59

Re: how can solve this equation

Sure, no problem. And if you don't mind I will put it on my website so that others can look at and give you ideas.

Kim

 Jianfeng Xia April 8, 2005 14:02

Re: how can solve this equation

OK.

 m. malik April 8, 2005 15:02

Re: how can solve this equation

Will appreciate if you can e-mail me the equation. Thanks

 Junseok Kim April 8, 2005 16:15

http://math.uci.edu/~jskim/web.pdf

Here is the problem description.

http://math.uci.edu/~jskim/web.pdf

 diaw April 9, 2005 22:28

Re: how can solve this equation

Your problem statement describes h(x), ie. a 1D problem.

But, your equation is full of Nabla operators, implying a vector field (2d or 3d), as it seems pointless using nablas for only a 1D problem.

If it is a 1D problem, then the reduction to a simple PDE is straightforward, if h(x,y,z), then the expansion will become more complex... then I would have an issue with the sqr(1+(nabla h )^2) term...

A few thoughts...

In a 1D problem, I would initially be inclined to try a change of variable to allow simpler solution & substitute back as required.

diaw...

 ???? April 10, 2005 09:31

Re: http://math.uci.edu/~jskim/web.pdf

What is h(X) the profile of? What variable?

 Jianfeng Xia April 10, 2005 19:26

Re: how can solve this equation

Actually, here h is a Monge representation, h(x,y).

And I just want to solve this equation in 1D.

Could you explain it in details/

Thany you !

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