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Jacobi bracket, differential identities, and the inverse problem for kinetic equations - MaRDI portal

Jacobi bracket, differential identities, and the inverse problem for kinetic equations (Q656232)

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scientific article; zbMATH DE number 5998323
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Jacobi bracket, differential identities, and the inverse problem for kinetic equations
scientific article; zbMATH DE number 5998323

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    Jacobi bracket, differential identities, and the inverse problem for kinetic equations (English)
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    17 January 2012
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    This paper considers equations of the form \(\lambda = \theta^I (\partial w / \partial x^i)\) and looks for differential identities characterized by a certain quadratic form \(g^{ij}\). An identity for the Jacobi bracket is obtained, and natural constraints under which the corresponding quadratic form is of definite sign are specified.
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    inverse problem
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    Jacobi bracket
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    differential identities
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