a 7. (10 pts) Let I be a bounded region in R". Prove that if u(x) is a smooth solution of Au(x) = f(x) in 2 and u(x) ) g
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a 7. (10 pts) Let I be a bounded region in R". Prove that if u(x) is a smooth solution of Au(x) = f(x) in 2 and u(x) ) g
a 7. (10 pts) Let I be a bounded region in R". Prove that if u(x) is a smooth solution of Au(x) = f(x) in 2 and u(x) ) g(x) on 22, then there is a constant C, depending on 2 only, such that max|u(x) <C (max 19(x)| + max|f τΕΩ ch IS (*))) αΕΘΩ DEN (Use the A priori estimate discussed in class)
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