The \(G\) class of functions and its applications
In the paper the method of inverse problems was applied for studying the asymptotic behaviour of some general solutions of nonlinear evolution equations and of the first boundary value problem of parabolic equations of second order in divergence form. It was introduced the concept of \(G\) class of functions and shows the Hölder continuity of this kind of functions. The introduction of this concept contributes to the proof of the regularity and existence of solutions.
scientific article; zbMATH DE number 1530091