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math.PR2021
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…
math.AP2021
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…