Elliptic and parabolic PDE's have been powerful models of problems in
science and engineering for more than a quarter millennium. The
classical solution theory of these equations assumes "perfect"
spatial domains and coefficients. However, to deal with real world
problems today one has to take into account vertices and edges of
three dimensional spatial domains, discontinuous coefficient
functions, and various mixed boundary conditions. Suitable regularity
for such linear elliptic problems is crucial for the solution theory
of corresponding nonlinear elliptic and parabolic equations. This
conference shall examine the progress in this direction, and elliptic
and parabolic equations in real space at large. One day of the
conference shall be specifically devoted to Navier-Stokes equations.