Anthony
Aug7-08, 09:31 AM
Hi all,
I've been trying to construct a set of nonlinear PDEs:
P_\nu[u]=0, \qquad \nu = 1, \ldots , l
that has skew-adjoint Frechet derivative, but with no luck. Is there any reason such a system of equations shouldn't exist? Here each P_\nu is an analytic function of the coordinates on [u]\sim\mathrm{pr}^s (x,u), the s-th jet of (x,u), where x=(x^1, \ldots , x^n) and u = (u^1, \ldots , u^l).
Any help would be much appreciated!
Ant
I've been trying to construct a set of nonlinear PDEs:
P_\nu[u]=0, \qquad \nu = 1, \ldots , l
that has skew-adjoint Frechet derivative, but with no luck. Is there any reason such a system of equations shouldn't exist? Here each P_\nu is an analytic function of the coordinates on [u]\sim\mathrm{pr}^s (x,u), the s-th jet of (x,u), where x=(x^1, \ldots , x^n) and u = (u^1, \ldots , u^l).
Any help would be much appreciated!
Ant