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I've been trying to construct a set ofnonlinearPDEs:

[tex]P_\nu=0, \qquad \nu = 1, \ldots , l[/tex]

that has skew-adjoint Frechet derivative, but with no luck. Is there any reason such a system of equations shouldn't exist? Here each [tex]P_\nu[/tex] is an analytic function of the coordinates on [tex]\sim\mathrm{pr}^s (x,u)[/tex], the s-th jet of [tex](x,u)[/tex], where [tex]x=(x^1, \ldots , x^n)[/tex] and [tex] u = (u^1, \ldots , u^l)[/tex].

Any help would be much appreciated!

Ant

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# Skew Adjoint Frechet derivative?

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