Large-time Behavior of Solutions of Linear Dispersive Equations
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 estim...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colección: | Lecture notes in mathematics
1668 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Large-time behavior of solutions of linear dispersive equations, Daniel B. Dix, 1997, Berlin, Springer, 1 vol. (XIV-203 p.), Lecture notes in mathematics, 3-540-63434-7 • Large-Time Behavior of Solutions of Linear Dispersive Equations, Texte imprimé, 9783662201893 |
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| 100 | 1 | |a Dix, Daniel Beach, |d 1959-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Large-time Behavior of Solutions of Linear Dispersive Equations |c Daniel B. Dix. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1668 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Laplace expansions, outer regions -- Expansion in the inner region, Matching -- Uniformly Valid Expansions for large time -- Special Results for Special Cases -- Applications: Self-similar asymptotic approximations; Sharp Ls decay estimates, Smoothing Effects; Asymptotic balance for large time; Asymptotic behavior for large x -- Reference -- Subject Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Mathématiques | ||
| 650 | |a Développements asymptotiques | ||
| 650 | |a Problèmes aux valeurs initiales | ||
| 650 | |a Équations différentielles linéaires |x Théorie asymptotique | ||
| 776 | 0 | |0 032122357 |t Large-time behavior of solutions of linear dispersive equations |f Daniel B. Dix |d 1997 |c Berlin |n Springer |p 1 vol. (XIV-203 p.) |s Lecture notes in mathematics |z 3-540-63434-7 | |
| 776 | 0 | |t Large-Time Behavior of Solutions of Linear Dispersive Equations |b Texte imprimé |z 9783662201893 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0093368 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LHXC21TB-Z |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750653825 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093368 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754003965 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0093368 |z Accès INSA CVL | |
| 997 | |0 971322 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||