非线性电导率的弱极限
Weak limits in non-linear conductivity
摘要:
研究了一类$p$ -Laplacian型非线性扩散方程解序列的弱极限的刻画问题。它是根据与对应于非线性方程的主要领域相关联的基本Young测度的某些矩来制定的。我们展示了两个主要结果。一个是必要条件,另一个是充分条件。与线性情况不同,这两个条件不匹配。
英文摘要:
The problem of characterizing weak limits of sequences of solutions for a non-linear diffusion equation of $p$-laplacian type is addressed. It is formulated in terms of certain moments of underlying Young measures associated with main fields corresponding to the non-linear equation. We show two main results. One is a necessary condition; the other one a sufficient counterpart. Unlike the linear case, those two conditions do not match.
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