Geometric Properties for Parabolic and Elliptic PDE's by Rolando Magnanini, Shigeru Sakaguchi, Angelo AlvinoEnglish | PDF (True) | 2013 | 294 Pages | ISBN : 884702840X | 3.2 MB
The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few.