Local existence of solutions of impedance initial-boundary value problem for non-linear Maxwell equations

Local existence of solutions of impedance initial-boundary value problem for non-linear Maxwell equations
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非线性麦克斯韦方程阻抗初边值问题解的局部存在性

DOI:
10.1002/mma.1670180302
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发表时间:
1995
影响因子:
2.9
通讯作者:
W. Zaja̧czkowski
W. Zaja̧czkowski
中科院分区:
数学4区
文献类型:
--
作者:
R. Picard;W. Zaja̧czkowski

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证明了一类非线性Maxwell方程混合问题解的局部存在性。它的解是如此规则以至于它的三阶导数都来自l2。然而,考虑的问题是我们能够获得必要的估计的特征,因为使用了兼容性条件
Local existence of solutions of a mixed problem for non-linear Maxwell equations is proved. The solution is so regular that its third derivatives are from L 2 . However, the considered problem is characteristic we were able to obtain necessary estimate because compatibility conditions were used