Question: Help with this question? Assume that the domain 9 C R2 is divided in two non-empty components 91 and [22 by a smooth curve I',

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Assume that the domain 9 C R2 is divided in two non-empty components 91 and [22 by a smooth curve I', and u : (2 > R is a function dened by u _ 11.1 in 91, 11.2 in 92, where m and 7.52 are continuously differentiable functions in $21 and (22, respectively. Moreover, assume that m and rug can be extended to I' continuously, that is, for a: E I', . f . W) = PM\" L J = and the extensions satisfy \"1'1\" = \"2 '1\" Show that u has weak derivatives in Q, and they are found by dierentiating the component functions U1 and 162

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