| e study weak solutions to the following quasilinear system of partial differential equations (PDE): ;We show that, for a variety of boundary conditions, there exists a unique weak solution to ;We then address the regularity of solutions. We first show that if ;The remainder of this dissertation deals only with the case of zero-displacement boundary conditions, with S having the special form ;Finally, we show that u itself does not become smoother than the initial data. Specifically, we show that if... |
