Hybrid function spaces, heat and Navier-Stokes equations

de Hans Triebel

This book is the continuation of Local Function Spaces, Heat and Navier-Stokes Equations (Tracts in Mathematics 20, 2013) by the author. A new approach is presented to exhibit relations between Sobolev spaces, Besov spaces, and Hölder-Zygmund spaces on the one hand and Morrey-Campanato spaces on the other. Morrey-Campanato spaces extend the notion of functions of bounded mean oscillation. These spaces play a crucial role in the theory of linear and nonlinear PDEs.--Provided by publisher