Singularly perturbed evolution equations with applications to kinetic theory
著者
書誌事項
Singularly perturbed evolution equations with applications to kinetic theory
（Series on advances in mathematics for applied sciences, vol. 34）
World Scientific, c1995
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters. In this book it is intended to gather the existing results as well as to introduce new ones on the field of initial value problems for singularly perturbed evolution equations of the resonance type. Such equations are of great interest in the applied sciences, particularly in the kinetic theory which is chosen as the main field of application for the asymptotic theory developed in the monograph.
目次
- Mathematical preliminaries, basic definitions and theorems from the theory of boundary value problems and semigroups of operators in Banach spaces
- formal asymptotic expansion, singularly perturbed evolution equations of the resonance type standard asymptotic expansion
- general theory of singularly perturbed evolution equations with bounded operators, bounded generators
- applications to the kinetic theory, general properties of linear kinetic equations, existence theorems, equations with bounded operators of resonance type, equations with unbounded operators of resonance type
- nonlinear equations, selected examples of nonlinear kinetic equations.
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