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arxiv: math/0512266 · v1 · submitted 2005-12-13 · 🧮 math.PR

Weak Solutions to the Stochastic Porous Media Equation via Kolmogorov Equations: The Degenerate Case

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keywords equationkolmogorovporousstochasticweakcasecolouredconstructed
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A stochastic version of the porous medium equation with coloured noise is studied. The corresponding Kolmogorov equation is solved in the space $L^2(H,\nu)$ where $\nu$ is an infinitesimally excessive measure. Then a weak solution is constructed.

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