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Heat equation with general stochastic measure colored in time

A stochastic heat equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure $d\mu (t)$ is investigated in this paper. For the integrator μ, we assume the σ-additivity in probability only. The existence, uniqueness, and Hölder regularity of the solution are proved.

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Autor principal: Vadym Radchenko
Format: Artigo
Idioma:Inglês
Publicat: VTeX 2014-12-01
Col·lecció:Modern Stochastics: Theory and Applications
Matèries:
Accés en línia:https://vmsta.vtex.vmt/doi/10.15559/14-VMSTA14
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