On a scale of anisotropic Sobolev spaces

Published 11 Dec 2023 in math.AP and math.FA | (2312.06044v1)

Abstract: We introduce a scale of anisotropic Sobolev spaces defined through a three-parameter family of Fourier multipliers and study their functional analytic properties. These spaces arise naturally in PDE when studying traveling wave solutions, and we give some simple applications of the spaces in this direction.

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