Problem 1. Consider scalar linear elliptic equation of second order a - Lij=1 dri อบ) (oij ani = { = f, in S2 CR 0 on a

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Problem 1. Consider scalar linear elliptic equation of second order a - Lij=1 dri อบ) (oij ani = { = f, in S2 CR 0 on a 2 (1) U = n where the coefficients dij aij (2) are bounded functions and there exist 7 > 0 such that γιει? < Σαρξιξη, θα Ε Ω, νξ ε Ra (2) ij=1 Convert the problem (1) into a general problem given by a continuous bilinear form a(,) and a continuous linear form L in a Hilbert space V. Show that the bilinear form a is also coercive.