Remarks on quasilinear evolutions equations
In this paper we study the existence result of classical solutions for the quasilinear equation utt−Δu−M(∫Ω|∇u|2dx)Δutt=f, with initial data u(0)=u0, u(1)=u1 and homogeneous boundary conditions.
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000984 |
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| _version_ | 1832552125589094400 |
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| author | James E. Munoz Rivera |
| author_facet | James E. Munoz Rivera |
| author_sort | James E. Munoz Rivera |
| collection | DOAJ |
| description | In this paper we study the existence result of classical solutions for the quasilinear equation utt−Δu−M(∫Ω|∇u|2dx)Δutt=f, with initial data u(0)=u0, u(1)=u1 and homogeneous boundary conditions. |
| format | Article |
| id | doaj-art-df5a1b721cb64baea74f2a299e0bf482 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-df5a1b721cb64baea74f2a299e0bf4822025-02-03T05:59:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114473173610.1155/S0161171291000984Remarks on quasilinear evolutions equationsJames E. Munoz Rivera0National Laboratory of Scientific Computation, Rua Lauro Muller 455, (LNCC-CNPq) Botafogo, CEP. 22290, Rio de Janeiro, R.J., BrazilIn this paper we study the existence result of classical solutions for the quasilinear equation utt−Δu−M(∫Ω|∇u|2dx)Δutt=f, with initial data u(0)=u0, u(1)=u1 and homogeneous boundary conditions.http://dx.doi.org/10.1155/S0161171291000984 |
| spellingShingle | James E. Munoz Rivera Remarks on quasilinear evolutions equations International Journal of Mathematics and Mathematical Sciences |
| title | Remarks on quasilinear evolutions equations |
| title_full | Remarks on quasilinear evolutions equations |
| title_fullStr | Remarks on quasilinear evolutions equations |
| title_full_unstemmed | Remarks on quasilinear evolutions equations |
| title_short | Remarks on quasilinear evolutions equations |
| title_sort | remarks on quasilinear evolutions equations |
| url | http://dx.doi.org/10.1155/S0161171291000984 |
| work_keys_str_mv | AT jamesemunozrivera remarksonquasilinearevolutionsequations |