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Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equations

By: Le Chen (Author) , Yaozhong Hu (Author) , David Nualart (Author)

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Ksh 20,250.00

Format: Paperback or Softback

ISBN-13: 9781470450007

Publisher: American Mathematical Society

Publication Date: Mar 30th, 2022

Dimension: 25.40 x 17.80 x 21.00 cms

Category: Differential calculus & equations

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In this paper, the authors establish a necessary and sufficient condition for the existence and regularity of the density of the solution to a semilinear stochastic (fractional) heat equation with measure-valued initial conditions. Under a mild cone condition for the diffusion coefficient, they establish the smooth joint density at multiple points.

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