Nonlinear Theory of Pseudodifferential Equations on a Half-line by Nakao Hayashi

Nonlinear Theory of Pseudodifferential Equations on a Half-line by Nakao Hayashi

This book is the first attempt to develop systematically a general theory of the initial-boundary value problems for nonlinear evolution equations with pseudodifferential operators Ku on a half-line or on a segment. We study traditionally important problems, such as local and global existence of solutions and their properties, in particular much attention is drawn to the asymptotic behavior of solutions for large time. Up to now the theory of nonlinear initial-boundary value problems with a general pseudodifferential operator has not been well developed due to its difficulty. There are many open natural questions. Firstly how many boundary data should we pose on the initial-boundary value problems for its correct solvability? As far as we know there are few results in the case of nonlinear nonlocal equations. The methods developed in this book are applicable to a wide class of dispersive and dissipative nonlinear equations, both local and nonlocal.

"The book is a first, very valuable contribution to the field, and should be recommended to everyone interested, and willing to go deeper into the subject (..)" --Alberto Parmeggiani, Mathematical reviews, 2004.

SKU	Non disponible
ISBN 13	9780444515698
ISBN 10	0444515690
Titre	Nonlinear Theory of Pseudodifferential Equations on a Half-line
Auteur	Nakao Hayashi
Série	North-Holland Mathematics Studies
État	Non disponible
Type de reliure	Hardback
Éditeur	Elsevier Science
Année de publication	2004-01-13
Nombre de pages	340
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible