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 AlfanoMembro 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.File in questo prodotto:
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