Incoming and disappearing solutions for Maxwell's equations
| hal.structure.identifier | Dipartimento di Matematica | |
| dc.contributor.author | COLOMBINI, Ferruccio | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PETKOV, Vesselin | |
| hal.structure.identifier | Department of Mathematics - University of Michigan | |
| dc.contributor.author | RAUCH, Jeffrey | |
| dc.date.accessioned | 2024-04-04T02:19:40Z | |
| dc.date.available | 2024-04-04T02:19:40Z | |
| dc.date.created | 2010-11-17 | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189425 | |
| dc.description.abstractEn | We prove that in contrast to the free wave equation in $\R^3$ there are no incoming solutions of Maxwell's equations in the form of spherical or modulated spherical waves. We construct solutions which are corrected by lower order incoming waves. With their aid, we construct dissipative boundary conditions and solutions to Maxwell's equations in the exterior of a sphere which decay exponentially as $t \to +\infty$. They are asymptotically disappearing. Disappearing solutions which are identically zero for $t \geq T > 0$ are constructed which satisfy maximal dissipative boundary conditions which depend on time $t$. Both types are invisible in scattering theory. | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.title.en | Incoming and disappearing solutions for Maxwell's equations | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1090/S0002-9939-2011-10885-2 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 1009.0564 | |
| bordeaux.journal | Proceedings of the American Mathematical Society | |
| bordeaux.page | 2163-2173 | |
| bordeaux.volume | 139 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 6 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00947056 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00947056v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings%20of%20the%20American%20Mathematical%20Society&rft.date=2011&rft.volume=139&rft.issue=6&rft.spage=2163-2173&rft.epage=2163-2173&rft.eissn=0002-9939&rft.issn=0002-9939&rft.au=COLOMBINI,%20Ferruccio&PETKOV,%20Vesselin&RAUCH,%20Jeffrey&rft.genre=article |
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