Brownian-time processes: the PDE connection and the half-derivative generator H Allouba, W Zheng
Annals of probability, 1780-1795, 2001
102 2001 Brownian-time processes: The PDE connection II and the corresponding Feynman-Kac formula H Allouba
Transactions of the American Mathematical Society 354 (11), 4627-4637, 2002
62 2002 Different types of SPDEs in the eyes of Girsanov's theorem H Allouba
Stochastic analysis and applications 16 (5), 787-810, 1998
33 1998 A linearized Kuramoto–Sivashinsky PDE via an imaginary-Brownian-time-Brownian-angle process H Allouba
Comptes rendus. Mathématique 336 (4), 309-314, 2003
27 2003 Brownian-time Brownian motion SIEs on $\Rp\times\Rd $: Ultra Regular direct and lattice-limits solutions and fourth order SPDEs links H Allouba
arXiv preprint arXiv:0708.3419, 2007
24 2007 A BROWNIAN-TIME EXCURSION INTO FOURTH-ORDER PDES, LINEARIZED KURAMOTO–SIVASHINSKY, AND BTP-SPDES ON ℝ+× ℝd H Allouba
Stochastics and Dynamics 6 (04), 521-534, 2006
23 2006 Time-fractional and memoryful SIEs on : How far can we push white noise? H Allouba
Illinois Journal of Mathematics 57 (4), 919-963, 2013
22 2013 Time-fractional and memoryful SIEs on : How far can we push white noise? H Allouba
Illinois Journal of Mathematics 57 (4), 919-963, 2013
22 2013 Time-fractional and memoryful SIEs on : How far can we push white noise? H Allouba
Illinois Journal of Mathematics 57 (4), 919-963, 2013
22 2013 L-Kuramoto–Sivashinsky SPDEs vs. time-fractional SPIDEs: Exact continuity and gradient moduli, 1/2-derivative criticality, and laws H Allouba, Y Xiao
Journal of Differential Equations 263 (2), 1552-1610, 2017
20 2017 L-Kuramoto–Sivashinsky SPDEs in one-to-three dimensions: L-KS kernel, sharp Hölder regularity, and Swift–Hohenberg law equivalence H Allouba
Journal of Differential Equations 259 (11), 6851-6884, 2015
18 2015 L-Kuramoto–Sivashinsky SPDEs in one-to-three dimensions: L-KS kernel, sharp Hölder regularity, and Swift–Hohenberg law equivalence H Allouba
Journal of Differential Equations 259 (11), 6851-6884, 2015
18 2015 Uniqueness in law for the Allen–Cahn SPDE via change of measure H Allouba
Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 330 (5), 371-376, 2000
18 2000 A differentiation theory for Itô's calculus H Allouba
Stochastic analysis and applications 24 (2), 367-380, 2006
17 2006 INTERACTING TIME-FRACTIONAL AND Δν PDES SYSTEMS VIA BROWNIAN-TIME AND INVERSE-STABLE-LÉVY-TIME BROWNIAN SHEETS H Allouba, E Nane
Stochastics and Dynamics 13 (01), 1250012, 2013
12 2013 INTERACTING TIME-FRACTIONAL AND Δν PDES SYSTEMS VIA BROWNIAN-TIME AND INVERSE-STABLE-LÉVY-TIME BROWNIAN SHEETS H Allouba, E Nane
Stochastics and Dynamics 13 (01), 1250012, 2013
12 2013 SPDEs law equivalence and the compact support property: applications to the Allen–Cahn SPDE H Allouba
Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 331 (3), 245-250, 2000
11 2000 A non-nonstandard proof of Reimers' existence result for heat SPDE< small. letters> s H Allouba
International Journal of Stochastic Analysis 11 (1), 29-41, 1998
11 1998 From Brownian-time Brownian sheet to a fourth order and a Kuramoto–Sivashinsky-variant interacting PDEs systems H Allouba
Stochastic analysis and applications 29 (6), 933-950, 2011
10 2011 SDDEs limits solutions to sublinear reaction-diffusion SPDEs H Allouba
arXiv preprint arXiv:1005.3806, 2010
10 2010