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.-
Minimal Flows and Their Extensions
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Viability, Invariance and Applications
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Integral and Finite Difference Inequalities and Applications
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Nine Introductions in Complex Analysis - Revised Edition
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Non-Self-Adjoint Boundary Eigenvalue Problems
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C<INF>o</INF>-Semigroups and Applications
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Foundations of Complex Analysis in Non Locally Convex Spaces
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Nonmeasurable Sets and Functions
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Topics in Soliton Theory
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Truth, Possibility and Probability
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Difference Equations in Normed Spaces
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History of Functional Analysis
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Graphs of Groups on Surfaces
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Functional Analysis and its Applications
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Topological Rings
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Tensor Norms and Operator Ideals
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Half-Linear Differential Equations
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Topological Algebras with Involution
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Infinite Dimensional Linear Control Systems
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Linear Discrete Parabolic Problems
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Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications
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Universal Spaces and Mappings
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Computational Complexity: A Quantitative Perspective
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Theory and Applications of Fractional Differential Equations
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Recent Progress in Functional Analysis
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Complex Numbers in n Dimensions
"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 |