Description

Book Synopsis
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.

Regularity and Strict Positivity of Densities for

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    A Paperback by Le Chen, Yaozhong Hu, David Nualart

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      Publisher: MP-AMM American Mathematical
      Publication Date: 3/30/2022 12:00:00 AM
      ISBN13: 9781470450007, 978-1470450007
      ISBN10: 1470450003

      Description

      Book Synopsis
      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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