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Hamiltonian systems, symplectic flows, classical integrable systems

2 votes
1 answer
186 views

Existence of solution to a system of linear PDEs with boundary conditions

I am looking to find a solution, or even just prove the existence of one, to the following system of linear PDEs. They come up in a construction I am trying to work out in symplectic geometry. Here $( …
Agniva Roy's user avatar
1 vote
0 answers
54 views

Existence of solutions (along subset of hypersurface) for a system of PDEs

I had asked a similar question about existence of solutions to a system of linear PDEs, and the answer made me realize that I needed to change things to try to make the construction work. So for the s …
Agniva Roy's user avatar