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

av Le Chen
Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equations av Le Chen
Om Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equations

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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  • Språk:
  • Engelska
  • ISBN:
  • 9781470450007
  • Format:
  • Häftad
  • Utgiven:
  • 30 Mars 2022
  • Mått:
  • 178x254x0 mm.
  • Vikt:
  • 210 g.
  Fri leverans
Leveranstid: 2-4 veckor
Förväntad leverans: 21 Oktober 2024

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

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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