Vibrations of Linear Piezostructures. Andrew J. Kurdila

covered in Chapter 2, this section shows how the simplified account fits in the general theory. Finally, Section S.3 discusses details regarding distributional and weak derivatives beyond the brief account in Chapter 8. A rigorous definition of a weak derivative is given, and the Sobolev spaces of all functions whose weak derivatives of order less than or equal to are elements of the Lebesgue space is defined.