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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.20955 |
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| _version_ | 1866911241793961984 |
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| author | Malagutti, Marcello Parmeggiani, Alberto Tramontana, Davide |
| author_facet | Malagutti, Marcello Parmeggiani, Alberto Tramontana, Davide |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20955 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Propagation of Shubin-Sobolev singularities of Weyl-quantizations of complex quadratic forms Malagutti, Marcello Parmeggiani, Alberto Tramontana, Davide Analysis of PDEs 35A18, 35A21, 35S10, 35Q40 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. |
| title | Propagation of Shubin-Sobolev singularities of Weyl-quantizations of complex quadratic forms |
| topic | Analysis of PDEs 35A18, 35A21, 35S10, 35Q40 |
| url | https://arxiv.org/abs/2503.20955 |