Support of a Marcus equation in dimension 1.
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Lototsky, Sergey V. (2001)
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Yves Achdou, Nicoletta Tchou (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We propose a variational analysis for a Black and Scholes equation with stochastic volatility. This equation gives the price of a European option as a function of the time, of the price of the underlying asset and of the volatility when the volatility is a function of a mean reverting Orstein-Uhlenbeck process, possibly correlated with the underlying asset. The variational analysis involves weighted Sobolev spaces. It enables to prove qualitative properties of the solution, namely a...
Nicolas Lerner (1996-1997)
Séminaire Équations aux dérivées partielles
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