Consider $\Delta u =f(x) , x \in \Omega $ and $\nabla u\cdot n +\alpha u = g(x) , x\in \partial\Omega $, where $n$ is outward normal. Can anyone give me a hind how to find sufficient condition on $\alpha$ so that the solution is unique. Thanks
Condition to have unique solution.
0
$\begingroup$
pde
-
1what do you mean by $\nabla\cdot n$? Do you mean $\nabla u\cdot n$ instead? – 2012-07-03
-
0@Paul : thanks for pointing out. – 2012-07-03
-
0For future reference, you should write the operators as `\Delta` and `\nabla` instead of `\triangle` and `\triangledown`. – 2012-07-03
-
0@RahulNarain : thank you , i didn't know that . – 2012-07-03