Complex sentence: However, there is no way the first term on LHS can be made this way, in this case the solution space H_0 ^ 1 and test function space L ^ 2 are different and hence the usually employed Bubnov Galerkin method cannot be used.
Split into simpler sentences: However, there is no way the first term on LHS can be made this way. In this case the solution space H_0 ^ 1 and test function space L ^ 2 are different and hence the usually employed Bubnov Galerkin method cannot be used.