Itô's formula for the $L_{p}$-norm of stochastic $W^{1}_{p}$-valued processes

Mathematics – Probability

Scientific paper

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16 pages

Scientific paper

We prove It\^o's formula for the $L_{p}$-norm of a stochastic
$W^{1}_{p}$-valued processes appearing in the theory of SPDEs in divergence
form.

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