Elliptic Regularity Theory by Approximation Methods

ISBN-13: 9781009096669 / Angielski / Miękka / 2022

Portugal) Pimentel Edgard A. (Universidade de Coimbra

Opis

A modern account of elliptic regularity theory, with a rigorous presentation of recent developments for fundamental models.

Recenzje

'The regularity theory of elliptic partial differential equations is one of the bedrocks of modern mathematics since it elegantly and creatively uses virtually all possible mathematical tools to construct a solid set of concepts with ubiquitous applications. This book tells a story about this regularity theory, especially from the point of view of viscosity solutions for fully nonlinear equations and in the light of perturbative methods. As all good stories, the important part is not the happy ending in itself, but the whole plot through the series of adventures and vicissitudes (namely, the beautiful theorems) in which the reader will be captured page after page.' Enrico Valdinoci, University of Western Australia

Spis treści

Preface; 1. Elliptic partial differential equations; 2. Flat solutions are regular; 3. The recession strategy; 4. A regularity theory for the Isaacs equation; 5. Regularity theory for degenerate models; References; Index.