Abstract
We prove the pathwise uniqueness of solutions to stochastic evolution equations in Hilbert spaces with the \(\alpha \)-stable Lévy noise and a bounded \(\beta \)-Hölder continuous drift term. The proof is based on the regularity results of resolvent equations associated to Kolmogorov operators.
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Yang, D. Pathwise uniqueness for stochastic evolution equations with Hölder drift and stable Lévy noise. Nonlinear Differ. Equ. Appl. 25, 20 (2018). https://doi.org/10.1007/s00030-018-0511-0
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DOI: https://doi.org/10.1007/s00030-018-0511-0