Nonlinear estimates in anisotropic Gevrey spaces

CADEDDU, LUCIO;GRAMTCHEV, TODOR VASSILEV

2003-01-01

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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.