| 书目名称 | Large-Time Behavior of Solutions of Linear Dispersive Equations |
| 编辑 | Daniel B. Dix |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 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 |
| 关键词 | asymptotic expansions; differential equation; linear dispersive equations; nonlinear wave equations; osc |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0093368 |
| isbn_softcover | 978-3-540-63434-8 |
| isbn_ebook | 978-3-540-69545-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1997 |
发表于 2025-3-21 19:29:58
