We propose constructions of multiparameter depending scales of Banach spaces of anisotropic ultra-differentiable functions and investigate their invariance under changes of the variables. We prove new local solvability results in such spaces for some classes of linear and semilinear partial differential equations with multiple characteristics.
Spaces of anisotropic ultradifferentiable functions and local solvability for semilinear partial differential equations
CADEDDU, LUCIO;GRAMTCHEV, TODOR VASSILEV
2009-01-01
Abstract
We propose constructions of multiparameter depending scales of Banach spaces of anisotropic ultra-differentiable functions and investigate their invariance under changes of the variables. We prove new local solvability results in such spaces for some classes of linear and semilinear partial differential equations with multiple characteristics.
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