The implicit function theorem can be used in a certain nondirect way for the obtaining of smooth bifurcation branches and a smooth dependence of solutions on parameters for variational inequalities. T...
We give a survey on recent results on control Lyapunov functions and their representations as (sub-/super-) solutions of suitable PDEs. In particular we will discuss the relation between regularity of...
We present recent results on the characterization of the global semiflow generated by scalar semilinear parabolic equations of the form ut=uxx+f(u,ux), x∈S1, t≥0, with periodic boundary conditions....
