Boundedness of the solutions of a kind of nonlinear parabolic systems
Analysis of PDEs
2025-12-10 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2201.13166,
title = {Boundedness of the solutions of a kind of nonlinear parabolic systems},
author = {Emilia Anna Alfano and Luisa Fattorusso and Lubomira Softova},
journal= {arXiv preprint arXiv:2201.13166},
year = {2025}
}
Comments
16 pages