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The semigroup governing the generalized Cox-Ingersoll-Ross equation

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Publication:5963181
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zbMath1341.47051MaRDI QIDQ5963181

Rosa Maria Mininni, Silvia Romanelli, Gisèle Ruiz Goldstein, Jerome A. Goldstein

Publication date: 4 March 2016

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1455805258



Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Integral representations of solutions to PDEs (35C15) Derivative securities (option pricing, hedging, etc.) (91G20) Initial value problems for second-order parabolic equations (35K15)


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A generalized Cox-Ingersoll-Ross equation with growing initial conditions ⋮ Analytic approach to solve a degenerate parabolic PDE for the Heston model ⋮ A nonautonomous Cox-Ingersoll-Ross equation with growing initial conditions ⋮ Analyticity of the Cox-Ingersoll-Ross semigroup ⋮ Scaling and variants of Hardy’s inequality ⋮ A semigroup approach to generalized Black-Scholes type equations in incomplete markets



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