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math.AP2022
KdV-type equations in projective Gevrey classes
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello
We prove well-posedness of the Cauchy problem for a class of third order quasilinear evolution equations with variable coefficients in projective Gevrey spaces. The class considere…
math.AP2022
Solution theory to semilinear stochastic equations of Schrödinger type on curved spaces I -- Operators with uniformly bounded coefficients
Alessia Ascanelli, Sandro Coriasco, André Süß
We study the Cauchy problem for Schrödinger type stochastic partial differential equations with uniformly bounded coefficients on a curved space. We give conditions on the coeffici…