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On Contact Equivalence of Monge-Ampère Equations to Linear Equations with Constant Coefficients

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Abstract

We solve a problem of local contact equivalence of hyperbolic and elliptic Monge-Ampère equations to linear equations with constant coefficients. We find normal forms for such equations: the telegraph equation and the Helmholtz equation.

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Authors and Affiliations

  1. Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya, 65, lab. 6, 117997, Moscow, Russia

    Alexei G. Kushner

  2. Department of Math. and Computer Sc., Astrakhan State University, Tatishcheva, 20A, 414056, Astrakhan, Russia

    Alexei G. Kushner

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  1. Alexei G. Kushner
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Correspondence to Alexei G. Kushner.

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Kushner, A.G. On Contact Equivalence of Monge-Ampère Equations to Linear Equations with Constant Coefficients. Acta Appl Math 109, 197–210 (2010). https://doi.org/10.1007/s10440-009-9447-z

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  • DOI: https://doi.org/10.1007/s10440-009-9447-z

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