Question: 1. Assume that u E H. (S) is the weak solution of the first boundary value problem of the Poisson equation -Au + c(x)u =

1. Assume that u E H. (S) is the weak solution

1. Assume that u E H. (S) is the weak solution of the first boundary value problem of the Poisson equation -Au + c(x)u = f(x), u(x) = 0, T E On, (2 ) where ? is a bounded region in RA, c is a non-negative bounded function defined in and f E L2(0). Prove that with the constant M depending only on the diameter of

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