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

Marcello Malagutti; Alberto Parmeggiani; Davide Tramontana

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arXiv · 2503.20955

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

Marcello Malagutti·Alberto Parmeggiani·Davide Tramontana

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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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Marcello Malagutti, Alberto Parmeggiani, Davide Tramontana. 2025-03-26. Propagation of Shubin-Sobolev singularities of Weyl-quantizations of complex quadratic forms. https://arxiv.org/abs/2503.20955

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