A homotopy method for solving an equation of the type − Δu = F(u)*

Christophe Devys; Jean-Michel Morel; P. Witomski

doi:10.1016/S0294-1449(16)30421-8

A homotopy method for solving an equation of the type − Δu = F(u)^*

Christophe Devys
, Jean-Michel Morel
, P. Witomski

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

1 Citation (Scopus)

Abstract

We describe a homotopy algorithm for solving the equation − Δu = F(u). To this end, we define a pseudo-inverse and a pseudo-determinant with sufficient regularity properties, for operators of Laplacian type. © 2016 L'Association Publications de l'Institut Henri Poincaré

Original language	English
Pages (from-to)	205-222
Journal	Annales de l'Institut Henri Poincaré C, Analyse non linéaire
Volume	1
Issue number	4
DOIs	https://doi.org/10.1016/S0294-1449(16)30421-8
Publication status	Published - 1 Jul 1984
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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abstract = "We describe a homotopy algorithm for solving the equation − Δu = F(u). To this end, we define a pseudo-inverse and a pseudo-determinant with sufficient regularity properties, for operators of Laplacian type. {\textcopyright} 2016 L'Association Publications de l'Institut Henri Poincar{\'e}",

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AU - Devys, Christophe

AU - Morel, Jean-Michel

AU - Witomski, P.

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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N2 - We describe a homotopy algorithm for solving the equation − Δu = F(u). To this end, we define a pseudo-inverse and a pseudo-determinant with sufficient regularity properties, for operators of Laplacian type. © 2016 L'Association Publications de l'Institut Henri Poincaré

AB - We describe a homotopy algorithm for solving the equation − Δu = F(u). To this end, we define a pseudo-inverse and a pseudo-determinant with sufficient regularity properties, for operators of Laplacian type. © 2016 L'Association Publications de l'Institut Henri Poincaré

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DO - 10.1016/S0294-1449(16)30421-8

M3 - RGC 21 - Publication in refereed journal

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JO - Annales de l'Institut Henri Poincaré C, Analyse non linéaire

JF - Annales de l'Institut Henri Poincaré C, Analyse non linéaire

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ER -