## Question

###### Exercise 6 Let n (0,1). Assume that a,b,c Ã¢â€šÂ¬ C1(2) such that a > @0 > 0, c _6'/2 20. Show that for any f,g Ã¢â€šÂ¬ L?(0) there exists a unique u Ã¢â€šÂ¬ H} (0) such that au' v' + bu'v + cuv dc = J fv+gv dc, e H8 ($2) ,and estimate the Fl_norm of u in terms of and g.

Exercise 6 Let n (0,1). Assume that a,b,c Ã¢â€šÂ¬ C1(2) such that a > @0 > 0, c _6'/2 20. Show that for any f,g Ã¢â€šÂ¬ L?(0) there exists a unique u Ã¢â€šÂ¬ H} (0) such that au' v' + bu'v + cuv dc = J fv+gv dc, e H8 ($2) , and estimate the Fl_norm of u in terms of and g.

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