Implicit functions and parametrizations in dimension three: generalized solutions (Q255646)
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scientific article; zbMATH DE number 6552560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Implicit functions and parametrizations in dimension three: generalized solutions |
scientific article; zbMATH DE number 6552560 |
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Implicit functions and parametrizations in dimension three: generalized solutions (English)
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9 March 2016
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A general local parametrization for the solution of the implicit equation \(f(x,y,z)=0\) that is valid in the critical case, too, is introduced by means of Hamiltonian systems. Some previous results from the literature are extended and the advantages of the new method are illustrated through examples. Worth mentioning is also the nice overview on the literature on the matter from the introductory section.
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implicit function theorems
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differential equations
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parametrizations
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generalized solutions
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critical cases
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Hamiltonian systems
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0.8873997
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0.8873997
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0.8802464
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0.8760932
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0.87228566
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