<div class="csl-bib-body">
<div class="csl-entry">Gerencser, M. (2023). Regularisation by regular noise. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>, <i>11</i>, 714–729. https://doi.org/10.1007/s40072-022-00242-0</div>
</div>
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dc.identifier.issn
2194-0401
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/188250
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dc.description.abstract
We show that perturbing ill-posed differential equations with (potentially very) smooth random processes can restore well-posedness—even if the perturbation is (potentially much) more regular than the drift component of the solution. The noise considered is of fractional Brownian type, and the familiar regularity condition α > 1 - 1 / (2 H) is recovered for all non-integer H > 1.
en
dc.language.iso
en
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dc.publisher
Springer
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dc.relation.ispartof
Stochastics and Partial Differential Equations: Analysis and Computations
