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This book collects recent research papers by respected specialists
in the field. It presents advances in the field of geometric
properties for parabolic and elliptic partial differential
equations, an area that has always attracted great attention. It
settles the basic issues (existence, uniqueness, stability and
regularity of solutions of initial/boundary value problems) before
focusing on the topological and/or geometric aspects. These topics
interact with many other areas of research and rely on a wide range
of mathematical tools and techniques, both analytic and geometric.
The Italian and Japanese mathematical schools have a long history
of research on PDEs and have numerous active groups collaborating
in the study of the geometric properties of their solutions.
This book collects recent research papers by respected specialists
in the field. It presents advances in the field of geometric
properties for parabolic and elliptic partial differential
equations, an area that has always attracted great attention. It
settles the basic issues (existence, uniqueness, stability and
regularity of solutions of initial/boundary value problems) before
focusing on the topological and/or geometric aspects. These topics
interact with many other areas of research and rely on a wide range
of mathematical tools and techniques, both analytic and geometric.
The Italian and Japanese mathematical schools have a long history
of research on PDEs and have numerous active groups collaborating
in the study of the geometric properties of their solutions.
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