Solve Nonlinear Systems of PDEs by Order Completion: Can There Be a General Nonlinear PDE Theory for Existence and Regularity of Solutions ?

Emer. Prof. Elemer Elad Rosinger has been visiting, or spent time for longer periods, at numerous universities on five continents. For a while by now, he has been a member of the Department of Mathematics and Applied Mathematics at the University of Pretoria, South Africa. Originally, he is from Transylvania, in Europe. Prof. Rosinger's research is in a number of fields in mathematics and physics. Among others, he introduced two nonlinear theories for solving large classes of nonlinear PDEs. One of them is listed under 46F30 by the American Mathematical Society. The second one is based on the order completion of spaces of smooth functions. He also gave in 1998 the first complete solution to Hilbert's Fifth Problem, which was outstanding ever since its formulation in 1900. Prof. Rosinger has published about two hundred papers and a dozen books, most of them in science. Some of the papers and books may usually be seen as dealing with philosophy, if only one could ever give a good enough definition for that human venture ... But then, the reach and ability of definitions are very limited, indeed. As for instance illustrated by the saying: "I can't tell what a good wine is, but certainly recognize one when I drink one ..." Fortunately, mathematics is one of those few realms of both great charm and importance where many things, nearly all things, can be defined precisely ... And still, it is quite possible to get a genuine and better kind of "high", even if not exactly drunk, by mathematics ... eerosinger@hotmail.com