On the intermediate integral for Monge-Ampere equations

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dc.creatorClelland, Jeanne Nielsen
dc.date1998-04-06
dc.date.accessioned2026-07-07T05:24:19Z
dc.date.available2026-07-07T05:24:19Z
dc.descriptionGoursat showed that in the presence of an intermediate integral, the problem of solving a second-order Monge-Ampere equation can be reduced to solving a first-order equation, in the sense that the generic solution of the first-order equation will also be a solution of the original equation. An attempt by Hermann to give a rigorous proof of this fact contains an error; we show that there exists an essentially unique counterexample to Hermann's assertion and state and prove a correct theorem.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/9804029
dc.identifierhttp://arxiv.org/abs/math/9804029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76795
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35A30 (Primary); 58A15 (Secondary)
dc.titleOn the intermediate integral for Monge-Ampere equations
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