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Item Details
Title: NONLINEAR THEORY OF PSEUDODIFFERENTIAL EQUATIONS ON A HALF-LINE
Volume: Volume 194
By: Nakao Hayashi, Elena Kaikina
Format: Hardback

List price: £126.99


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ISBN 10: 0444515690
ISBN 13: 9780444515698
Publisher: ELSEVIER SCIENCE & TECHNOLOGY
Pub. date: 13 January, 2004
Series: North-Holland Mathematics Studies
Pages: 340
Description: 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.
Synopsis: 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.
Publication: UK
Imprint: Elsevier Science Ltd
Returns: Non-returnable
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