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 |
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 |
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 |
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 |
SEMIMARTINGALE ATTRACTORS FOR ALLEN–CAHN SPDEs DRIVEN BY SPACE–TIME WHITE NOISE I: EXISTENCE AND FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR H Allouba, JA Langa Stochastics and Dynamics 4 (02), 223-244, 2004 | 7 | 2004 |
Different types of SPDEs: Existence, uniqueness, and Girsanov's theorem HA Allouba Cornell University, 1996 | 7 | 1996 |
L-Kuramoto-Sivashinsky SPDEs on R+× Rd via the imaginary-Brownian-time-Brownian-angle representation H Allouba final preparation, 0 | 5 | |
BTBM SIEs on R+× Rd: Modulus of continuity, hitting probabilities, Hausdorff dimensions, and d-dependent variation H Allouba, Y Xiao preparation, 0 | 4 | |