most citedNormal forms for parabolic Monge-Ampere equations

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math.DG2007★ 2 cited

Normal forms for parabolic Monge-Ampere equations

Ricardo Alonso Blanco, Gianni Manno, Fabrizio Pugliese

We find normal forms for parabolic Monge-Ampere equations. Of these, the most general one holds for any equation admitting a complete integral. Moreover, we explicitly give the det…

math.DG1999

Jumping oscillator

F. Pugliese, A. Vinogradov

It is shown that a lagrangian system whose Legendre transformation degenerates along a hypersurface behaves in a strange manner by jumping from time to time without any ''visible c…