Nonlinear Theory of Pseudodifferential Equations on a Half-line
Nonlinear Theory of Pseudodifferential Equations on a Half-line
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Summary
Attempts to develop 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. This work examines traditionally important problems, such as local and global existence of solutions and their properties.
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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 | Unavailable |
| ISBN 13 | 9780444515698 |
| ISBN 10 | 0444515690 |
| Title | Nonlinear Theory of Pseudodifferential Equations on a Half-line |
| Author | Nakao Hayashi |
| Series | North-Holland Mathematics Studies |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Elsevier Science |
| Year published | 2004-01-13 |
| Number of pages | 340 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |