## L°° bounds for families of translation invariant, L stable operators in one dimension

- D. J. Estep
- Ph.D. thesis, The University of Michigan,
- 1987

The pointwise behavior of dispersive difference schemes for the simple wave equation in one dimension is analyzed. If the initial data are in certain Besov spaces, the scheme is shown to be pointwise unbounded. Boundedness is shown when the initial data are of bounded variation.