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math.AP2019
Floquet Problem and Center Manifold Reduction for Ordinary Differential Operators with Periodic Coefficients in Hilbert Spaces
Vladimir Kozlov, Jari Taskinen
A first order differential equation with a periodic operator coefficient acting in a pair of Hilbert spaces is considered. This setting models both elliptic equations with periodic…
math.AP2019
A comparison theorem for nonsmooth nonlinear operators
Vladimir Kozlov, Alexander Nazarov
We prove a comparison theorem for super- and sub-solutions with non-vanishing gradients to semilinear PDEs provided a nonlinearity is function with . The proof is…