Continuity of a surface in Fréchet spaces

Philippe G. Ciarlet; Maria Malin; Cristinel Mardare

doi:10.1016/j.crma.2019.10.010

Continuity of a surface in Fréchet spaces

Philippe G. Ciarlet^*
, Maria Malin^*
, Cristinel Mardare^*

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Abstract

We establish the continuity of a surface as a function of its first two fundamental forms for several Fréchet topologies, which include in particular those of the space W_loc^1,p for the first fundamental form and of the space L_loc^p for the second fundamental form, for any p > 2.

Original language	English
Pages (from-to)	917-921
Journal	Comptes Rendus Mathematique
Volume	357
Issue number	11-12
Online published	6 Nov 2019
DOIs	https://doi.org/10.1016/j.crma.2019.10.010
Publication status	Published - Nov 2019

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This full text is made available under CC-BY-NC-ND 4.0. https://creativecommons.org/licenses/by-nc-nd/4.0/

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title = "Continuity of a surface in Fr{\'e}chet spaces",

abstract = "We establish the continuity of a surface as a function of its first two fundamental forms for several Fr{\'e}chet topologies, which include in particular those of the space Wloc1,p for the first fundamental form and of the space Llocp for the second fundamental form, for any p > 2.",

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AU - Ciarlet, Philippe G.

AU - Malin, Maria

AU - Mardare, Cristinel

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AB - We establish the continuity of a surface as a function of its first two fundamental forms for several Fréchet topologies, which include in particular those of the space Wloc1,p for the first fundamental form and of the space Llocp for the second fundamental form, for any p > 2.

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U2 - 10.1016/j.crma.2019.10.010

DO - 10.1016/j.crma.2019.10.010

M3 - RGC 21 - Publication in refereed journal

SN - 1631-073X

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

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Continuity of a surface in Fréchet spaces

Abstract

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GRF: New Nonlinear Estimates for Surfaces in Terms of their Fundamental Forms and Applications

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Continuity of a surface in Fréchet spaces

Abstract

Publisher's Copyright Statement

RGC Funding Information

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GRF: New Nonlinear Estimates for Surfaces in Terms of their Fundamental Forms and Applications

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