论文标题
非线性扩散时空均质化的校正结果
Corrector results for space-time homogenization of nonlinear diffusion
论文作者
论文摘要
本文涉及非线性扩散方程的时空同质化问题，并定期振荡（在时空）系数。主要结果包括校正结果（即具有校正项的强大溶液收敛性），以实现梯度，扩散通量和时间衍生物，而没有假设系数的平稳性。主要结果的证明是基于展开方法的时空版本，该方法与强大的两尺度收敛理论非常关注。
The present paper concerns a space-time homogenization problem for nonlinear diffusion equations with periodically oscillating (in space and time) coefficients. Main results consist of corrector results (i.e., strong convergences of solutions with corrector terms) for gradients, diffusion fluxes and time-derivatives without assumptions for smoothness of coefficients. Proofs of the main results are based on the space-time version of the unfolding method, which is deeply concerned with the strong two-scale convergence theory.
