Well-posedness for a class of pseudo-differential hyperbolic equations on the torus
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910479340797952 |
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| author | Cardona, Duvan Delgado, Julio Ruzhansky, Michael |
| author_facet | Cardona, Duvan Delgado, Julio Ruzhansky, Michael |
| contents | In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class considered here includes a space-like fractional order Laplacians. By applying the toroidal pseudo-differential calculus we establish regularity estimates, existence and uniqueness in the scale of the standard Sobolev spaces on the torus |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05973 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-posedness for a class of pseudo-differential hyperbolic equations on the torus Cardona, Duvan Delgado, Julio Ruzhansky, Michael Analysis of PDEs 35S10, 35S05 In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class considered here includes a space-like fractional order Laplacians. By applying the toroidal pseudo-differential calculus we establish regularity estimates, existence and uniqueness in the scale of the standard Sobolev spaces on the torus |
| title | Well-posedness for a class of pseudo-differential hyperbolic equations on the torus |
| topic | Analysis of PDEs 35S10, 35S05 |
| url | https://arxiv.org/abs/2406.05973 |