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Nonlinear Theory of Pseudodifferential Equations on a Half-line, Volume 194 (North-Holland Mathematics Studies) | 
 enlarge | Authors: Nakao Hayashi, Elena Kaikina
Publisher: Elsevier Science
Category: Book
List Price: $112.00
Buy New: $109.20
You Save: $2.80 (2%)
New (14) Used (8) from $100.72
Sales Rank: 3416641
Media: Hardcover
Edition: 1
Number Of Items: 1
Pages: 340
Shipping Weight (lbs): 1.7
Dimensions (in): 9.5 x 6.5 x 0.8
ISBN: 0444515690
Dewey Decimal Number: 515.353
EAN: 9780444515698
ASIN: 0444515690
Publication Date: January 13, 2004
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Product Description
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.
For the first time the definition of pseudodifferential operator on a half-line and a segment is done
A wide class of nonlinear nonlocal and local equations is considered
Developed theory is general and applicable to different equations
The book is written clearly, many examples are considered
Asymptotic formulas can be used for numerical computations by engineers and physicists
The authors are recognized experts in the nonlinear wave phenomena
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