On Parabolic Functional Differential Equations in Unbounded domains

Laszlo Simon

Address. Department of Applied Analysis, Faculty of Science, Eotvos Lor' and University , 1053 Budapest,
                Kecskemeti u. 10-12, Hungary

E-mail: simonl@ludens.elte.hu

Abstract. We shall consider weak solutions of initial--boundary value problems for nonlinear parabolic functional differential equations containing discontinuous terms in the unknown function. There will be proved the existence of solutions and formulated some properties of the solutions.

AMSclassification. 35R10

Keywords. Partial functional differential equations, differential equations with dicontinuous terms.