A note on maximal estimates for stochastic convolutions

Veraar, Mark ; Weis, Lutz

Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 743-758

Abstract (VO)

In stochastic partial differential equations it is important to have pathwise regularity properties of stochastic convolutions. In this note we present a new sufficient condition for the pathwise continuity of stochastic convolutions in Banach spaces.

Détail

DOI : 10.1007/s10587-011-0023-0

Classification : 35B65, 35R60, 46B09, 47D06, 60H15
Keywords: stochastic convolutions; maximal inequalities; path-continuity; stochastic partial differential equations; $H^\infty $-calculus; $\gamma $-radonifying operators; exponential tail estimates

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