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 › Journal Article (refereed) › 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.

Original language	English
Pages (from-to)	205-222
Number of pages	18
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	1
Issue number	4
DOIs	https://doi.org/10.1016/S0294-1449(16)30421-8
Publication status	Published - Aug 1984
Externally published	Yes

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10.1016/S0294-1449(16)30421-8

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

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.",

author = "Christophe DEVYS and Jean-Michel MOREL and P. WITOMSKI",

year = "1984",

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doi = "10.1016/S0294-1449(16)30421-8",

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T1 - A homotopy method for solving an equation of the type − Δu = F(u)*

AU - DEVYS, Christophe

AU - MOREL, Jean-Michel

AU - WITOMSKI, P.

PY - 1984/8

Y1 - 1984/8

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.

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.

UR - https://www.scopus.com/pages/publications/85050689284

U2 - 10.1016/S0294-1449(16)30421-8

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

M3 - Journal Article (refereed)

AN - SCOPUS:85050689284

SN - 0294-1449

VL - 1

SP - 205

EP - 222

JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 4

ER -

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

Abstract

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