I need to find the Green's function for $$\Delta u=0$$ in the upper half plane subject to $$G(x,0;x_0,y_0)=0=\lim_{y\rightarrow\infty} G.$$ I know that $\Delta G=0$ and I have tried solving this with the free-space Greens and by setting it up and solving for $G$ with separation of variables. None of my work goes anywhere.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.