Implicit functions and parametrizations in dimension three: Generalized solutions

Mihaela Roxana Nicolai; Dan Tiba

doi:10.3934/dcds.2015.35.2701

Article Contents

2015, Volume 35, Issue 6: 2701-2710. Doi: 10.3934/dcds.2015.35.2701

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Implicit functions and parametrizations in dimension three: Generalized solutions

Mihaela Roxana Nicolai^1, and
Dan Tiba^1,

1.
Institute of Mathematics, Romanian Academy, P.O.BOX 1-764, 014700 Bucharest

Received: January 2014

Revised: March 2014

Published: May 2017

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Abstract

We introduce a general local parametrization for the solution of the implicit equation $f(x,y,z)=0$ by using Hamiltonian systems. The approach extends previous work of the authors and is valid in the critical case as well.

Keywords:

Mathematics Subject Classification: 26B10, 34A12, 53A05.

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