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SpringerBriefs in Mathematics(2)
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Operator Theory: Advances and Applications(1)
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Applications and Numerical Approximation
Book PartAbstract: In this chapter we present applications of the chaos expansion method in optimal control and stochasPalabras claves:Autores:Hermann Mena, Levajkovic T.Fuentes:scopusGeneralized Operators of Malliavin Calculus
Book PartAbstract: In this chapter we extend Malliavin calculus from the classical finite variance setting to generalizPalabras claves:Autores:Hermann Mena, Levajkovic T.Fuentes:scopusEquations involving malliavin derivative: A chaos expansion approach
Book PartAbstract: We study equations involving the Malliavin derivative operator and the Wick product with a GaussianPalabras claves:Chaos expansion, Galerkin method, Generalized stochastic process, Malliavin derivative, Stochastic differential equation, Wick productAutores:Hermann Mena, Levajkovic T.Fuentes:scopusThe stochastic linear quadratic optimal control problem in hilbert spaces: A polynomial chaos approach
ArticleAbstract: We consider the stochastic linear quadratic optimal control problem for state equations of the Itô-SPalabras claves:Itô-Skorokhod integral, Polynomial chaos expansion method, Riccati equations, Stochastic linear quadratic optimal control problem, White noise analysisAutores:Hermann Mena, Levajkovic T., Tuffaha A.Fuentes:scopus