Global smooth solutions to 2D semilinear wave equations with large data Article Swipe
Bingbing Ding
,
Shijie Dong
,
Gang Xu
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2312.08018
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2312.08018
We are interested in coupled semi-linear wave equations satisfying the null condition in two space dimensions, a basic model in nonlinear wave equations. Our aim is to establish global existence of smooth solutions to this system with large initial data of short pulse type. Major difficulties arise due to the largeness of initial data and the slow decay nature of 2D wave equations. To overcome the difficulties, by careful examination of the local solutions, we adapt various vector-field methods to different spacetime regions with several novel weighted energy estimates.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2312.08018
- https://arxiv.org/pdf/2312.08018
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4389768465
All OpenAlex metadata
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https://openalex.org/W4389768465Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2312.08018Digital Object Identifier
- Title
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Global smooth solutions to 2D semilinear wave equations with large dataWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-12-13Full publication date if available
- Authors
-
Bingbing Ding, Shijie Dong, Gang XuList of authors in order
- Landing page
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https://arxiv.org/abs/2312.08018Publisher landing page
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https://arxiv.org/pdf/2312.08018Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2312.08018Direct OA link when available
- Concepts
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Spacetime, Wave equation, Nonlinear system, Energy (signal processing), Mathematics, Space (punctuation), Null (SQL), Pulse (music), Field (mathematics), Mathematical analysis, Applied mathematics, Physics, Computer science, Pure mathematics, Quantum mechanics, Database, Statistics, Detector, Operating system, OpticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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