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Flows generated by symmetric functions of the Eigenvalues of the Hessian

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Abstract

Global unique solvability of the first initial boundary value problem for fully nonlinear equations of the form

$$ - u_t + f(\lambda _1 [u], \ldots ,\lambda _n [u]) = g$$

is proved. Here λ u , i=1,..., n, are the eigenvalues of the Hessian uxx and f is a symmetric function satisfying some conditions. Bibliography: 7 titles.

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Literature Cited

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Authors
  1. N. M. Ivochkina
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  2. O. A. Ladyzhenskaya
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Additional information

Dedicated to N. N. Uraltseva on her jubilee

Published inZapiski Nauchnykh Seminarov POMI, Vol. 221, 1995, pp. 127–144.

Translated by O. A. Ladyzhenskaya.

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Ivochkina, N.M., Ladyzhenskaya, O.A. Flows generated by symmetric functions of the Eigenvalues of the Hessian. J Math Sci 87, 3353–3365 (1997). https://doi.org/10.1007/BF02355587

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  • DOI: https://doi.org/10.1007/BF02355587

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