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arxiv: 0704.2380 · v2 · submitted 2007-04-18 · 🧮 math.PR

Local well-posedness of Musiela's SPDE with L\'evy noise

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keywords localmusielaadmitscoefficientconditionsderivativedeterminedifferential
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We determine sufficient conditions on the volatility coefficient of Musiela's stochastic partial differential equation driven by an infinite dimensional L{\'e}vy process so that it admits a unique local mild solution in spaces of functions whose first derivative is square integrable with respect to a weight.

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