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Title: Nonlinear Estimates in Anisotropic Gevrey Spaces
Authors: Cadeddu, Lucio
Gramchev, Todor
Keywords: Anisotropic Gevrey Classes
Nonlinear Composition Estimates
Evolution PDE
Issue Date: 2003
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 15, No 1, (2003), 149p-160p
Abstract: We introduce scales of Banach spaces of anisotropic Gevrey functions depending on multidimensional parameters. We prove estimates in such spaces for composition maps and nonlinearities in conservative forms. Applications for solvability and regularity of solutions of nonlinear PDEs are outlined.
Description: 2002 Mathematics Subject Classification: 35G20, 47H30
ISSN: 0204-9805
Appears in Collections:2003 Volume 15

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