论文标题
一种非线性抛物线系统的解决方案的界限
Boundedness of the solutions of a kind of nonlinear parabolic systems
论文作者
论文摘要
我们处理满足组件结构条件的抛物线类型的非线性系统。非线性项是相对于溶液的控制生长，梯度和数据在各向异性的Lebesgue空间中。在这些假设下，我们获得了弱解决方案的基本界限。
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.
