Weak dispersion for the Dirac equation on asymptotically flat and warped product spaces

Federico Cacciafesta; Anne Sophie de Suzzoni

doi:10.3934/dcds.2019177

Weak dispersion for the Dirac equation on asymptotically flat and warped product spaces

Federico Cacciafesta
, Anne Sophie de Suzzoni

University of Padova
Université Paris-Saclay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

In this paper we prove local smoothing estimates for the Dirac equation on some non-flat manifolds; in particular, we will consider asymptotically flat and warped products metrics. The strategy of the proofs relies on the multiplier method.

langue originale	Anglais
Pages (de - à)	4359-4398
Nombre de pages	40
journal	Discrete and Continuous Dynamical Systems
Volume	39
Numéro de publication	8
Les DOIs	https://doi.org/10.3934/dcds.2019177
état	Publié - 1 août 2019
Modification externe	Oui

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10.3934/dcds.2019177

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title = "Weak dispersion for the Dirac equation on asymptotically flat and warped product spaces",

abstract = "In this paper we prove local smoothing estimates for the Dirac equation on some non-flat manifolds; in particular, we will consider asymptotically flat and warped products metrics. The strategy of the proofs relies on the multiplier method.",

keywords = "Asymptotically flat manifolds, Dirac equation, Dispersion, PDEs, Warped products",

author = "Federico Cacciafesta and \{de Suzzoni\}, \{Anne Sophie\}",

year = "2019",

month = aug,

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doi = "10.3934/dcds.2019177",

language = "English",

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T1 - Weak dispersion for the Dirac equation on asymptotically flat and warped product spaces

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AU - de Suzzoni, Anne Sophie

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N2 - In this paper we prove local smoothing estimates for the Dirac equation on some non-flat manifolds; in particular, we will consider asymptotically flat and warped products metrics. The strategy of the proofs relies on the multiplier method.

AB - In this paper we prove local smoothing estimates for the Dirac equation on some non-flat manifolds; in particular, we will consider asymptotically flat and warped products metrics. The strategy of the proofs relies on the multiplier method.

KW - Asymptotically flat manifolds

KW - Dirac equation

KW - Dispersion

KW - PDEs

KW - Warped products

U2 - 10.3934/dcds.2019177

DO - 10.3934/dcds.2019177

M3 - Article

AN - SCOPUS:85065775468

SN - 1078-0947

VL - 39

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EP - 4398

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 8

ER -

Weak dispersion for the Dirac equation on asymptotically flat and warped product spaces

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