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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
The Cauchy problem for a class of linear degenerate evolution equation on the torus
Alexandre Arias, Bruno de Lessa Victor
We study, in the periodic setting, the well-posedness of the Cauchy problem associated to the operator $P(t, D_{x}, D_{t}) = D_{t} - a_{2}(t) Δ_{x} + \sum_{j = 1}^{N} a_{1, j}(t) D…