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Global well-posedness of high dimensional Maxwell-Dirac for small critical data /
In this paper, the authors prove global well-posedness of the massless Maxwell-Dirac equation in the Coulomb gauge on \mathbb{R}^{1+d} (d\geq 4) for data with small scale-critical Sobolev norm, as well as modified scattering of the solutions. Main components of the authors' proof are A) uncover...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2020]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1279. |
| Temas: |
Partial differential equations
> Hyperbolic equations and systems [See also 58J45]
> Initial value problems for first-order hyperbolic systems.
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| Acceso en línea: | Texto completo |
| Sumario: | In this paper, the authors prove global well-posedness of the massless Maxwell-Dirac equation in the Coulomb gauge on \mathbb{R}^{1+d} (d\geq 4) for data with small scale-critical Sobolev norm, as well as modified scattering of the solutions. Main components of the authors' proof are A) uncovering null structure of Maxwell-Dirac in the Coulomb gauge, and B) proving solvability of the underlying covariant Dirac equation. A key step for achieving both is to exploit (and justify) a deep analogy between Maxwell-Dirac and Maxwell-Klein-Gordon (for which an analogous result was proved earlier by Kri. |
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| Descripción Física: | 1 online resource (v, 106 pages.). |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781470458089 147045808X |
| ISSN: | 0065-9266 ; |