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