Boundedness of the solutions of a kind of nonlinear parabolic systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909951184601088 |
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| author | Alfano, Emilia Anna Fattorusso, Luisa Softova, Lubomira |
| author_facet | Alfano, Emilia Anna Fattorusso, Luisa Softova, Lubomira |
| contents | We deal with nonlinear systems of parabolic type satisfying component-wise structural conditions. The nonlinear terms are Carathéodory maps having controlled growth with respect to the solution and the gradient and the data are in anisotropic Lebesgue spaces. Under these assumptions we obtain essential boundedness of the weak solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_13166 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Boundedness of the solutions of a kind of nonlinear parabolic systems Alfano, Emilia Anna Fattorusso, Luisa Softova, Lubomira Analysis of PDEs Functional Analysis 35K40, 35B50 We deal with nonlinear systems of parabolic type satisfying component-wise structural conditions. The nonlinear terms are Carathéodory maps having controlled growth with respect to the solution and the gradient and the data are in anisotropic Lebesgue spaces. Under these assumptions we obtain essential boundedness of the weak solutions. |
| title | Boundedness of the solutions of a kind of nonlinear parabolic systems |
| topic | Analysis of PDEs Functional Analysis 35K40, 35B50 |
| url | https://arxiv.org/abs/2201.13166 |