most recent 30 from http://mathoverflow.net 2013-06-20T00:48:30Z http://mathoverflow.net/feeds/question/84453 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/84453/solve-hamiltonjacobi-pde discobot 2011-12-28T17:23:30Z 2011-12-28T17:23:30Z

<p>$$ \frac{\partial S}{\partial t} + \frac{1}{2}\left((\nabla S)^2 + (x, \Omega^2 x) \right)= 0$$ $$S|_{t=0} = (k,x) $$ Where $x \in \mathbf{R}^n,\ \Omega^2 $ - Positive-definite matrix, $k$ is constant vector</p> <p>Where should I start?</p>