A New Paradigm For Scattering Theory of Linear And Nonlinear Waves: Review And Open Problem
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917759095406592 |
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| author | Soffer, Avy |
| author_facet | Soffer, Avy |
| contents | I present a review of the recent advancements in scattering theory, which provides a unified approach to studying dispersive and hyperbolic equations with general interaction terms and data. These equations encompass time-dependent potentials, as well as NLS, NLKG, and NLW equations. Additionally, I discuss a series of open problems, along with their significance and potential future applications in scattering and inverse scattering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A New Paradigm For Scattering Theory of Linear And Nonlinear Waves: Review And Open Problem Soffer, Avy Mathematical Physics Pattern Formation and Solitons Quantum Physics I present a review of the recent advancements in scattering theory, which provides a unified approach to studying dispersive and hyperbolic equations with general interaction terms and data. These equations encompass time-dependent potentials, as well as NLS, NLKG, and NLW equations. Additionally, I discuss a series of open problems, along with their significance and potential future applications in scattering and inverse scattering. |
| title | A New Paradigm For Scattering Theory of Linear And Nonlinear Waves: Review And Open Problem |
| topic | Mathematical Physics Pattern Formation and Solitons Quantum Physics |
| url | https://arxiv.org/abs/2408.14269 |