Title

The Galerkin method and degenerate evolution equations

Document Type

Article

Publication Date

5-1-1985

Abstract

Existence, uniqueness and regularity results are obtained for an abstract equation of the form By′ + Ay = f, whereB is not 1-1 and may vanish andA is a nonlinear operator. The desired solution is obtained as a limit of solutions of finite dimensional ordinary differential equations. The method used here generalizes the usual Galerkin method by allowing B to be degenerate and by making weaker assumptions of coercivity than are customary in most applications of the Galerkin method to evolution equations. © 1985.

Publication Title

Journal of Mathematical Analysis and Applications

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