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Timeline for Coupled semilinear PDEs

Current License: CC BY-SA 2.5

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Oct 4, 2010 at 19:26 vote accept user9728
Oct 4, 2010 at 19:25 comment added user9728 Thanks for the answer, Denis and everyone else. I can know a couple of additional things at a closed boundary contour. Along that contour, both $p$ and $q$ tend to infinity. But the ratio $q/p$ is finite and known. So, in your solution, I can specify $\theta$ at the boundary, but $\rho$ is infinity. I have also posed this as a second order PDE by substituting $p_y = q_x$ in PDE1. I have asked it here: mathoverflow.net/questions/41050/… For this second-order PDE, we may ignore the fact that it arises from a coupled first order system.
Oct 3, 2010 at 19:41 history edited Denis Serre CC BY-SA 2.5
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Oct 3, 2010 at 7:55 history answered Denis Serre CC BY-SA 2.5