ON THE REGULARITY OF THE SOLUTION OF THE NEUMANN PROBLEM FOR QUASILINEAR PARABOLIC SYSTEMS
ON THE REGULARITY OF THE SOLUTION OF THE NEUMANN PROBLEM FOR QUASILINEAR PARABOLIC SYSTEMS
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论拟线性抛物线系统诺依曼问题解的规律性
DOI：
10.1070/im1995v045n02abeh001576
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发表时间：
1995
影响因子：
1
通讯作者：
A. Arkhipova
中科院分区：
文献类型：
--
作者：
A. Arkhipova
证明了一类具有非光滑余法导数的拟线性抛物型方程组的广义解2$ SRC=http：ej.iop.org/images/1468-4810/45/2/A01/tex_im_1576_img4.gif/>，1$ SRC=http：//www.example.comej.iop.org/images/1468-4810/45/2/A01/tex_im_1576_img3.gif/它是假设的功能，形成系统和边界条件的控制阶的非线性，和他们的奇异性是各向异性的空间变量和时间。在邻域内的梯度估计。
Partial regularity is proved of the generalized solution , , 2$ SRC=http://ej.iop.org/images/1468-4810/45/2/A01/tex_im_1576_img3.gif/>, 1$ SRC=http://ej.iop.org/images/1468-4810/45/2/A01/tex_im_1576_img4.gif/>, of a quasilinear parabolic system with nonsmooth conormal derivative. It is assumed that the functions forming the system and the boundary condition have controlled orders of nonlinearities, and their singularities are anisotropic with respect to the spatial variables and time. -estimates of the gradient of in a neighborhood of are preliminarily deduced.