Journal ArticleDOI
Stochastic evolution equations
Nicolai V Krylov,Boris Rozovskii +1 more
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In this paper, the theory of strong solutions of Ito equations in Banach spaces is expounded, and the results of this theory are applied to the investigation of strongly parabolic Ito partial differential equations.Abstract:
The theory of strong solutions of Ito equations in Banach spaces is expounded. The results of this theory are applied to the investigation of strongly parabolic Ito partial differential equations.read more
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Stochastic Equations in Infinite Dimensions
Giuseppe Da Prato,Jerzy Zabczyk +1 more
TL;DR: In this paper, the existence and uniqueness of nonlinear equations with additive and multiplicative noise was investigated. But the authors focused on the uniqueness of solutions and not on the properties of solutions.
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Well-posedness of the transport equation by stochastic perturbation
TL;DR: In this paper, it was shown that a multiplicative stochastic perturbation of Brownian type is enough to render the linear transport equation well-posed. But it was not shown that multiplicative perturbations alone are sufficient to render a deterministic PDE wellposed.
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Backward doubly stochastic differential equations and systems of quasilinear SPDEs
Etienne Pardoux,Shige Peng +1 more
TL;DR: In this paper, a new class of backward stochastic differential equations is introduced, which allows us to produce a probabilistic representation of certain quasilinear SPDE, thus extending the Feynman-Kac formula.
References
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An Introduction to Population Genetics Theory
James F. Crow,Motoo Kimura +1 more
TL;DR: An introduction to population genetics theory, An introduction to Population Genetics Theory, Population Genetics theory, Population genetics theory as discussed by the authors, Population genetics, population genetics, and population genetics theories, Population Genetic Theory
Book
An introduction to population genetics theory
James F. Crow,Motoo Kimura +1 more
TL;DR: An introduction to population genetics theory, An introduction to Population Genetics theory, and more.
Book
Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
TL;DR: In this article, Operateurs Maximaux Monotones: Et Semi-Groupes De Contractions Dans Les Espaces De Hllbert are described and discussed. But the focus is not on the performance of the operators.