Remarks on global solutions to the initial-boundary value problem for quasilinear degenerate parabolic equations with a nonlinear source term
We give an existence theorem of global solution to the initial-boundary value problem for \(u_{t}-\operatorname{div}\{\sigma(|\nabla u|^2)\nabla u\}=f(u)\) under some smallness conditions on the initial data, where \(\sigma (v^2)\) is a positive function of \(v^2\ne 0\) admitting the degeneracy pro...
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| Autor principal: | |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
AGH Univeristy of Science and Technology Press
2019-01-01
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| coleção: | Opuscula Mathematica |
| Assuntos: | |
| Acesso em linha: | https://www.opuscula.agh.edu.pl/vol39/3/art/opuscula_math_3924.pdf |
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