AbstractWe prove continuous dependence results for solution to the Cauchy problem related to degenerate parabolic equations arising in the valuation of financial derivatives. These results are crucial in some standard calibration procedure for recent stochastic volatility and interest rates models
A major challenge in computational finance is the pricing of options that depend on a large number o...
We propose the use of a classical tool in PDE theory, the parametrix method, to build approximate s...
We examine, both from an analytical and numerical viewpoint, the uncertain volatility model by Hobso...
AbstractWe prove continuous dependence results for solution to the Cauchy problem related to degener...
AbstractWe present a general framework for deriving continuous dependence estimates for, possibly po...
AbstractWe study an integro-differential parabolic problem modeling a process with jumps arising in ...
We examine a recent model, proposed by Hobson and Rogers, which generalizes the classical one by Bla...
We present a general framework for deriving continuous dependence estimates for, possibly polynomial...
AbstractDegenerate parabolic equations of Kolmogorov type occur in many areas of analysis and applie...
We present a general framework for deriving continuous dependence estimates for, possibly polynomial...
We prove the existence and uniqueness of the fundamental solution for Kolmogorov operators associate...
AbstractExplicit estimates for the continuous dependence inL∞([0,T];L1(Rd)) of solutions of the equa...
International audienceThis paper is devoted to continuity results of the time derivative of the solu...
AbstractUsing the maximum principle for semicontinuous functions (Differential Integral Equations3 (...
summary:We consider the Cauchy problem for degenerate parabolic equations with variable coefficients...
A major challenge in computational finance is the pricing of options that depend on a large number o...
We propose the use of a classical tool in PDE theory, the parametrix method, to build approximate s...
We examine, both from an analytical and numerical viewpoint, the uncertain volatility model by Hobso...
AbstractWe prove continuous dependence results for solution to the Cauchy problem related to degener...
AbstractWe present a general framework for deriving continuous dependence estimates for, possibly po...
AbstractWe study an integro-differential parabolic problem modeling a process with jumps arising in ...
We examine a recent model, proposed by Hobson and Rogers, which generalizes the classical one by Bla...
We present a general framework for deriving continuous dependence estimates for, possibly polynomial...
AbstractDegenerate parabolic equations of Kolmogorov type occur in many areas of analysis and applie...
We present a general framework for deriving continuous dependence estimates for, possibly polynomial...
We prove the existence and uniqueness of the fundamental solution for Kolmogorov operators associate...
AbstractExplicit estimates for the continuous dependence inL∞([0,T];L1(Rd)) of solutions of the equa...
International audienceThis paper is devoted to continuity results of the time derivative of the solu...
AbstractUsing the maximum principle for semicontinuous functions (Differential Integral Equations3 (...
summary:We consider the Cauchy problem for degenerate parabolic equations with variable coefficients...
A major challenge in computational finance is the pricing of options that depend on a large number o...
We propose the use of a classical tool in PDE theory, the parametrix method, to build approximate s...
We examine, both from an analytical and numerical viewpoint, the uncertain volatility model by Hobso...