Orthogonality of H-distributions and applications
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908622766735360 |
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| author | Antonić, Nenad Mitrović, Darko Perić, Tomislav |
| author_facet | Antonić, Nenad Mitrović, Darko Perić, Tomislav |
| contents | We extend Gérard's results on orthogonality of ${\rm L}^2_{\rm loc}$ sequences as a consequence of mutual singularity of corresponding H-measures (microlocal defect measures) to ${\rm L}^p$/${\rm L}^q$ sequences and newly introduced notion of orhogonality for H-distributions. We apply the result to a homogenisation problem for the heterogeneous Boltzmann equation with space-dependent drift and periodic opacity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27550 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orthogonality of H-distributions and applications Antonić, Nenad Mitrović, Darko Perić, Tomislav Analysis of PDEs Functional Analysis 46F05, 28C05, 35Q20, 42B15 We extend Gérard's results on orthogonality of ${\rm L}^2_{\rm loc}$ sequences as a consequence of mutual singularity of corresponding H-measures (microlocal defect measures) to ${\rm L}^p$/${\rm L}^q$ sequences and newly introduced notion of orhogonality for H-distributions. We apply the result to a homogenisation problem for the heterogeneous Boltzmann equation with space-dependent drift and periodic opacity. |
| title | Orthogonality of H-distributions and applications |
| topic | Analysis of PDEs Functional Analysis 46F05, 28C05, 35Q20, 42B15 |
| url | https://arxiv.org/abs/2510.27550 |