Results 1 to 10 of about 36 (36)
Gradient estimates for the fundamental solution of Lévy type operator
Advances in Nonlinear Analysis, 2020 We prove a gradient estimate and the Hölder continuity of the gradient for the fundamental solution of a class of α-stable type operators with α ∈ (0, 1), which improve known results in the literature where the condition α > 1/2 is commonly assumed.
Liu Wei, Song Renming, Xie Longjie
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PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
Forum of Mathematics, Pi, 2015 We introduce an approach to study certain singular partial differential equations (PDEs) which is based on techniques from paradifferential calculus and on ideas from the theory of controlled rough paths.
MASSIMILIANO GUBINELLI +2 more
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A CLASS OF GROWTH MODELS RESCALING TO KPZ
Forum of Mathematics, Pi, 2018 We consider a large class of $1+1$-dimensional continuous interface growth models and we show that, in both the weakly asymmetric and the intermediate disorder regimes, these models converge to Hopf–Cole solutions to the KPZ equation.
MARTIN HAIRER, JEREMY QUASTEL
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HIGH ORDER PARACONTROLLED CALCULUS
Forum of Mathematics, Sigma, 2019 We develop in this work a general version of paracontrolled calculus that allows to treat analytically within this paradigm a whole class of singular partial differential equations with the same efficiency as regularity structures.
ISMAËL BAILLEUL, FRÉDÉRIC BERNICOT
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Forum of Mathematics, Pi, 2019 In last passage percolation models lying in the Kardar–Parisi–Zhang (KPZ) universality class, the energy of long energy-maximizing paths may be studied as a function of the paths’ pair of endpoint locations.
ALAN HAMMOND
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Effects of aging and hydrothermal treatment on the crystallization of ZSM-5 zeolite synthesis from bentonite. [PDF]
RSC Adv, 2023 Nguyen DK +6 more
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Stochastic differential equation modelling of cancer cell migration and tissue invasion. [PDF]
J Math Biol, 2023 Katsaounis D +2 more
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Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]
Appl Math Optim, 2021 Brzeźniak Z, Dhariwal G, Le Gia QT.
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STOCHASTIC DYNAMICS OF CELL LINEAGE IN TISSUE HOMEOSTASIS. [PDF]
Discrete Continuous Dyn Syst Ser B, 2019 Qiu Y, Chen W, Nie Q.
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A solution theory for a general class of SPDEs. [PDF]
Stoch Partial Differ Equ, 2017 Süß A, Waurick M.
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