We deal with nonlinear systems of parabolic type satisfying componentwise 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.

Boundedness of the solutions of a kind of nonlinear parabolic systems

Emilia Anna Alfano
Membro del Collaboration Group
;
Lyoubomira Softova
Membro del Collaboration Group
2023-01-01

Abstract

We deal with nonlinear systems of parabolic type satisfying componentwise 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4717754
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