1. Mathematics
2. Numerical Analysis
3. Partial Differential Equations
4. 446913

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For n>0, find the solution to the boundary value problem -Ã?"u=(n/Ã?â?¬)e^{-n(xÃ?²+yÃ?²)}, xÃ?²+yÃ?²<1, u(x,y)=0, xÃ?²+yÃ?²=1. What happens in the limit as nââ? 'âË??? (Ã?"u=((âË?â??Ã?²u)/(âË?â??xÃ?²))+((âË?â??Ã?²u)/(âË?â??yÃ?²))).