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arXiv · 2201.13166

Boundedness of the solutions of a kind of nonlinear parabolic systems

Emilia Anna Alfano·Luisa Fattorusso·Lubomira Softova
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Abstract

We deal with nonlinear systems of parabolic type satisfying component-wise structural conditions. The nonlinear terms are Carath\'eodory 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.

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Emilia Anna Alfano, Luisa Fattorusso, Lubomira Softova. 2022-01-31. Boundedness of the solutions of a kind of nonlinear parabolic systems. https://doi.org/10.1016/j.jde.2023.02.042

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