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| Natura: | Preprint |
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2026
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| Accesso online: | https://arxiv.org/abs/2605.03122 |
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| _version_ | 1866918482428297216 |
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| author | Giscard, Louokdom Tamto Paul Danga, Duplex Elvis Houpa Yannick, Kouakep Tchaptchie |
| author_facet | Giscard, Louokdom Tamto Paul Danga, Duplex Elvis Houpa Yannick, Kouakep Tchaptchie |
| contents | The aim of this work is to establish an existence and uniqueness solution for spatiocharacteristic second-order quasilinear hyperbolic problems in Sobolev type spaces with weights to clarify and complete the previous work done by H. Muller Zum Hagen and H.J. Seifert, Gen. Rel. and Gravit. 1977. We use this result in P. G. Louokdom tamto, PhD thesis ongoing, 2026 to establish a semi-global existence and uniqueness result for second-order quasilinear Goursat problems where the coefficients of the second derivatives depend linearly on the unknown in weighted Sobolev-type spaces, which we will apply to the harmonic gauge vacuum Einstein equations |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03122 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Solution of second-order hyperbolic quasilinear systems with spatio-characteristic initial data in weighted Sobolev-type spaces under finite differentiability assumptions on the data Giscard, Louokdom Tamto Paul Danga, Duplex Elvis Houpa Yannick, Kouakep Tchaptchie Analysis of PDEs Mathematical Physics 35L05, 35P25, 35Q75 The aim of this work is to establish an existence and uniqueness solution for spatiocharacteristic second-order quasilinear hyperbolic problems in Sobolev type spaces with weights to clarify and complete the previous work done by H. Muller Zum Hagen and H.J. Seifert, Gen. Rel. and Gravit. 1977. We use this result in P. G. Louokdom tamto, PhD thesis ongoing, 2026 to establish a semi-global existence and uniqueness result for second-order quasilinear Goursat problems where the coefficients of the second derivatives depend linearly on the unknown in weighted Sobolev-type spaces, which we will apply to the harmonic gauge vacuum Einstein equations |
| title | Solution of second-order hyperbolic quasilinear systems with spatio-characteristic initial data in weighted Sobolev-type spaces under finite differentiability assumptions on the data |
| topic | Analysis of PDEs Mathematical Physics 35L05, 35P25, 35Q75 |
| url | https://arxiv.org/abs/2605.03122 |