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- Publisher Website: 10.1016/j.aim.2023.109157
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Article: Uniform estimates for 2D quasilinear wave
| Title | Uniform estimates for 2D quasilinear wave |
|---|---|
| Authors | |
| Keywords | Alinhac Ghost weight Quasilinear wave Uniform boundedness |
| Issue Date | 7-Jun-2023 |
| Publisher | Elsevier |
| Citation | Advances in Mathematics, 2023, v. 428 How to Cite? |
| Abstract | We consider two-dimensional quasilinear wave equations with standard null-type quadratic nonlinearities. In 2001 Alinhac proved that such systems possess global in time solutions for compactly supported initial data with sufficiently small Sobolev norm. The highest norm of the constructed solution grows polynomially in time. In this work we develop a new strategy and prove uniform boundedness of the highest order norm of the solution for all time. |
| Persistent Identifier | http://hdl.handle.net/10722/337346 |
| ISSN | 2021 Impact Factor: 1.675 2020 SCImago Journal Rankings: 2.281 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, Dong | - |
| dc.date.accessioned | 2024-03-11T10:20:11Z | - |
| dc.date.available | 2024-03-11T10:20:11Z | - |
| dc.date.issued | 2023-06-07 | - |
| dc.identifier.citation | Advances in Mathematics, 2023, v. 428 | - |
| dc.identifier.issn | 0001-8708 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/337346 | - |
| dc.description.abstract | <p>We consider two-dimensional quasilinear wave equations with standard null-type quadratic nonlinearities. In 2001 Alinhac proved that such systems possess global in time solutions for compactly supported <a href="https://www.sciencedirect.com/topics/mathematics/initial-datum" title="Learn more about initial data from ScienceDirect's AI-generated Topic Pages">initial data</a> with sufficiently small Sobolev norm. The highest norm of the constructed solution grows polynomially in time. In this work we develop a new strategy and prove uniform <a href="https://www.sciencedirect.com/topics/mathematics/boundedness" title="Learn more about boundedness from ScienceDirect's AI-generated Topic Pages">boundedness</a> of the highest order norm of the solution for all time.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | Elsevier | - |
| dc.relation.ispartof | Advances in Mathematics | - |
| dc.subject | Alinhac | - |
| dc.subject | Ghost weight | - |
| dc.subject | Quasilinear wave | - |
| dc.subject | Uniform boundedness | - |
| dc.title | Uniform estimates for 2D quasilinear wave | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1016/j.aim.2023.109157 | - |
| dc.identifier.scopus | eid_2-s2.0-85161258766 | - |
| dc.identifier.volume | 428 | - |
| dc.identifier.issnl | 0001-8708 | - |