Reaction-diffusion models for a class of infinite-dimensional nonlinear stochastic differential equations (Q6161603)

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scientific article; zbMATH DE number 7692070
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Reaction-diffusion models for a class of infinite-dimensional nonlinear stochastic differential equations
scientific article; zbMATH DE number 7692070

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    Reaction-diffusion models for a class of infinite-dimensional nonlinear stochastic differential equations (English)
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    5 June 2023
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    The authors establish the existence of solutions to a class of nonlinear stochastic differential equations in an infinite-dimensional space, with diffusion corresponding to a given transition kernel. These equations can be used to model a reaction-diffusion system associated for instance with chemical reactions or population dynamics.
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    reaction-diffusion models
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    scaling limits of particle systems
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    martingale problems
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    thermodynamic limit
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