Existence theory for higher order elliptic-parabolic equations with an application to elasticity
Robert G. Root · Journal of Mathematical Analysis and Applications · 1991
We consider a boundary value problem of Dirichlet type for a class of degenerate elliptic linear equations of order 2M. The treatment is analogous to that of Fichera for degenerate elliptic equations of the second order that he called elliptic-parabolic; hence the present use of the term. We present a weak formulation of solution for equations of arbitrary even order, and an existence and uniqueness result. We conclude by considering a boundary value problem representative of this class from a linear model of an elastic plate under tension