Lq estimates of gradients for evolutional p-Laplacian systems
Lq estimates of gradients for evolutional p-Laplacian systems
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DOI：
10.1016/j.jde.2004.11.003
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发表时间：
2005-12
影响因子：
2.4
通讯作者：
M. Misawa
中科院分区：
文献类型：
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作者：
M. Misawa
我们研究由BMO-函数的散度给出的具有间断系数和外力的发展p-拉普拉斯系统的梯度的Lq-估计。所得结果可视为二阶抛物型算子Lq估计中Calderon-Zygmund理论在发展p-Laplace算子上的部分推广。
We study Lq-estimates of gradients for evolutional p-Laplacian systems with discontinuous coefficients and external force given by the divergence of BMO-functions. The result obtained here may be regarded as a partial generalization of the Calderon–Zygmund theory in Lq-estimate for the parabolic operator of second order to the evolutional p-Laplace operator.