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Titlebook: Large-Time Behavior of Solutions of Linear Dispersive Equations; Daniel B. Dix Book 1997 Springer-Verlag Berlin Heidelberg 1997 asymptotic

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書目名稱Large-Time Behavior of Solutions of Linear Dispersive Equations
編輯Daniel B. Dix
視頻videohttp://file.papertrans.cn/582/581432/581432.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Large-Time Behavior of Solutions of Linear Dispersive Equations;  Daniel B. Dix Book 1997 Springer-Verlag Berlin Heidelberg 1997 asymptotic
描述This book studies the large-time asymptotic behavior of solutions of the pure initial value problem for linear dispersive equations with constant coefficients and homogeneous symbols in one space dimension. Complete matched and uniformly-valid asymptotic expansions are obtained and sharp error estimates are proved. Using the method of steepest descent much new information on the regularity and spatial asymptotics of the solutions are also obtained. Applications to nonlinear dispersive equations are discussed. This monograph is intended for researchers and graduate students of partial differential equations. Familiarity with basic asymptotic, complex and Fourier analysis is assumed.
出版日期Book 1997
關(guān)鍵詞asymptotic expansions; differential equation; linear dispersive equations; nonlinear wave equations; osc
版次1
doihttps://doi.org/10.1007/BFb0093368
isbn_softcover978-3-540-63434-8
isbn_ebook978-3-540-69545-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1997
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cessary for the survival of the culture. The authority of the tradition ought not to be challenged, and severe punishment is the consequence of deviations. The creative changes necessarily happening in the application of the primary interpretations are small, and if they happen, they are denied or r
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cultural tradition as false. The presuppositions of a thorough analysis of the development of cultural tradition are (1) the analysis of the difference of cultures with and without written traditions; (2) the analysis of the possibilities of understanding in cross-cultural encounters; and (3) the an
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Daniel B. Dix in universities of the twentieth century. A written tradition will be understood in the following chapters in a broad sense, i.e., the tradition represented by all texts, even including mail from the Internal Revenue Service. The emergence of a literary genre representing such traditions–i.e., the
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