Function-valued stochastic convolutions arising in integrodifferential equations

Details Function-valued stochastic convolutions arising in integrodifferential equations Function-valued stochastic convolutions arising in integrodifferential equations

2004-12-26

arxiv.org/abs/math/0412495v1

Mathematics

Probability

16 pages, submitted

Scientific paper

We study stochastic convolutions providing by fundamental solutions of a
class of integrodifferential equations which interpolate the heat and the wave
equations. We give sufficient condition for the existence of function--valued
convolutions in terms of the covariance kernel of a noise given by spatially
homogeneous Wiener process.

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