Nonlinear nonautonomous partial functional differential BVP (Q1337533)

This paper is concerned with the study of boundary value problems for nonlinear parabolic-type functional equations of the form \[ \partial u(x,t)/ \partial t= g(x,u_ x)u_{xx}+ f(x,u,u_ x)+ F(t,u_ t), \] where \(u_ t(x,s)= u(x,t+ s)\). The tools are maximal monotone operators, semigroups and polygonal lines.