Elena Kaikina's Books

Nonlinear Theory of Pseudodifferential Equations on a Half-line

By: Nakao Hayashi,Elena Kaikina

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Nonlinear Theory of Pseudodifferential Equations on a Half-line

By: Nakao Hayashi,Elena Kaikina

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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Page Count

350

Publisher

Gulf Professional Publishing

Published Date

ISBN 10

0444515690

ISBN 13

9780444515698

Asymptotics for Dissipative Nonlinear Equations

By: Nakao Hayashi,Elena I. Kaikina,Pavel Naumkin,Ilya A. Shishmarev

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Asymptotics for Dissipative Nonlinear Equations

By: Nakao Hayashi,Elena I. Kaikina,Pavel Naumkin,Ilya A. Shishmarev

This is the first book in world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.

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Page Count

570

Publisher

Springer

Published Date

ISBN 10

3540320601

ISBN 13

9783540320609

Nonlinear Theory of Pseudodifferential Equations on a Half-line

By: Nakao Hayashi,Elena Kaikina

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Nonlinear Theory of Pseudodifferential Equations on a Half-line

By: Nakao Hayashi,Elena Kaikina

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

350

Publisher

Gulf Professional Publishing

Published Date

ISBN 10

0444515690

ISBN 13

9780444515698

Book's by Elena Kaikina

Nonlinear Theory of Pseudodifferential Equations on a Half-line

Nonlinear Theory of Pseudodifferential Equations on a Half-line

Asymptotics for Dissipative Nonlinear Equations

Asymptotics for Dissipative Nonlinear Equations

Nonlinear Theory of Pseudodifferential Equations on a Half-line

Nonlinear Theory of Pseudodifferential Equations on a Half-line

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