A regularity theory for stochastic partial differential equations driven by multiplicative space-time white noise with the random fractional Laplacians

DOI10.1007/s40072-021-00189-8zbMath1480.60179OpenAlexW3134541634WikidataQ115374994 ScholiaQ115374994MaRDI QIDQ2068922

Beom-Seok Han

Publication date: 20 January 2022

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40072-021-00189-8

zbMATH Keywords

nonlinearHölder regularitystochastic partial differential equationmultiplicative noisespace-time white noisefractional Laplacian

Mathematics Subject Classification ID

White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (2)

A weighted \(L_p\)-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators ⋮ Sobolev regularity theory for the non-local elliptic and parabolic equations on \(C^{1,1}\) open sets

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