Propagation of Shubin-Sobolev singularities of Weyl-quantizations of complex quadratic forms

Published 26 Mar 2025 in math.AP | (2503.20955v1)

Abstract: The aim of this work is to develop the H\"ormander microlocal theory in the isotropic framework and use the results we obtain to study the propagation of singularities for an evolution problem, with diffusive part given by a Weyl-quantization of a complex quadratic form on the phase space.

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