20 citations · 49 across the 11 of their papers we have counts for
14 papers
The method of stochastic characteristics for linear second-order hypoelliptic equations
Juraj Foldes, David Herzog
We study hypoelliptic stochastic differential equations (SDEs) and their connection to degenerate-elliptic boundary value problems on bounded or unbounded domains. In particular, w…
Rayleigh-Bénard convection with stochastic forcing localised near the bottom
Juraj Földes, Armen Shirikyan
We prove stochastic stability of the three-dimensional Rayleigh-Bénard convection in the infinite Prandtl number regime for any pair of temperatures maintained on the top and the b…
A functional Law of the Iterated Logarithm for weakly hypoelliptic diffusions at time zero
Marco Carfagnini, Juraj Foldes, David P. Herzog
We study the almost sure behavior of solutions of stochastic differential equations (SDEs) as time goes to zero. Our main general result establishes a functional law of the iterate…
Symmetry properties of sign-changing solutions to nonlinear parabolic equations in unbounded domains
Juraj Földes, Alberto Saldaña, Tobias Weth
We study the asymptotic (in time) behavior of positive and sign-changing solutions to nonlinear parabolic problems in the whole space or in the exterior of a ball with Dirichlet bo…
Invariant measures and global well posedness for SQG equation
Juraj Foldes, Mouhamadou Sy
We construct an invariant measure for the Surface Quasi-Geostrophic (SQG) equation and show that almost all functions in the support of are initial conditions of global, un…
Singular radial solutions for the Lin-Ni-Takagi equation
Juraj Foldes, Jean-Baptiste Casteras
We study singular radially symmetric solution to the Lin-Ni-Takagi equation for a supercritical power non-linearity in dimension . It is shown that for any ball and any $k…