Existence and uniqueness of mild solution to fractional stochastic heat equation

For a class of non-autonomous parabolic stochastic partial differential equations defined on a bounded open subset $D\subset {\mathbb{R}^{d}}$ and driven by an ${L^{2}}(D)$-valued fractional Brownian motion with the Hurst index $H>1/2$, a new result on existence and uniqueness of a mild solution...

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Bibliographic Details

Published in:	Modern Stochastics: Theory and Applications
Main Authors:	Kostiantyn Ralchenko, Georgiy Shevchenko
Format:	Article
Language:	English
Published:	VTeX 2018-12-01
Subjects:	fractional Brownian motion Stochastic partial differential equation mild solution Green’s function
Online Access:	https://www.vmsta.org/doi/10.15559/18-VMSTA122