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This is a Quantitative Study study.

October 12, 2025Open Access

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

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Propagation of singularities is guided by the developed Hörmander microlocal theory, improving understanding of complex dynamics.
Key findings show the interaction of Shubin-Sobolev singularities with the Weyl-quantization process in complex quadratic forms.
The research combines advanced mathematical concepts to address evolution problems, providing clarity on the phase space behavior.
Insights from this study suggest a deeper comprehension of singularity propagation in mathematical physics and applied contexts.

Implication

This work develops microlocal theory to study propagation of singularities in evolution problems, highlighting the role of Weyl-quantization.

Abstract

The aim of this work is to develop the Hörmander 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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Cite This Study

Malagutti et al. (2025) studied this question.

synapsesocial.com/papers/68ec384042a190b2c3519acc https://doi.org/10.48550/arxiv.2503.20955

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Implication

This work develops microlocal theory to study propagation of singularities in evolution problems, highlighting the role of Weyl-quantization.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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