The attached image is from "Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations" by J.W. Thomas.(adsbygoogle = window.adsbygoogle || []).push({});

In the beginning the set of test functions, [itex]\phi[/itex] is defined.

They arrive at equation (9.2.11) by using [itex]\phi(x,T) = \phi(a,t) = \phi(b,t) = 0[/itex].

Where does this condition come from?

Thanks.

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# Please help me understand what this textbook says

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