Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari(Cambridge University Press, 2021-06)
[EN] We consider the Cauchy problem for a general class of parabolic partial differential equations in the Euclidean space R-N. We show that given a weighted L-p-space L-w(p)(R-N) with 1 <= p < infinity and a fast growing ...
Calvo, Daniela; Gómez Collado, María del Carmen(Wiley-VCH Verlag GmbH & Co., 2011-04-06)
We present a generalization of Gevrey classes, aiming at including the inhomogeneous Gevrey functions introduced by Liess 15 and the ultradifferentiable functions in the sense of Braun et al. 4. Therefore, we treat the ...