| 二维时变电磁场第一边值初值问题广义解的存在与唯一性 |
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| 引用本文： | 何汉林,魏汝祥.二维时变电磁场第一边值初值问题广义解的存在与唯一性[J].海军工程大学学报,1999(1). |
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| 作者姓名： | 何汉林 魏汝祥 |
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| 作者单位： | 海军工程学院基础部 |
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| 基金项目： | 海军工程学院基础科研基金 |
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| 摘 要： | 在频率为１０１０以下的情况下，给出了由正弦交变电流引起的二维时变电磁场所对应的偏微分方程，并用非线性算子半群理论及单调算子理论证明了相应偏微分方程第一边值初值问题广义解的存在与唯一性．
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| 关 键 词： | 时变场 增生算子 耗散算子 超耗散算子 m－增生算子 强单调算子 广义解 |
The Existence and Uniqueness for the Generalized Solution of the 2D Electromagnetic Field with
First Boundary Initial Problem |
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| He Hanlin,Wei Ruxiang.The Existence and Uniqueness for the Generalized Solution of the 2D Electromagnetic Field with
First Boundary Initial Problem[J].Journal of Naval University of Engineering,1999(1). |
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| Authors: | He Hanlin Wei Ruxiang |
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| Institution: | He Hanlin Wei Ruxiang |
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| Abstract: | This paper gives a
corresponding partial differential equation of the two dimensional electromagnetic field stimulated
by sine alternate current with wave frequency under 10 10 . By using the theory of nonlinear
semigroups and strong monotone operator, we give a theoretical proof of the existence and
uniqueness of the corresponding partial differential equation with first boundary initial problem. |
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| Keywords: | Electromagnetic field Accretive operator Dissipative operator Hyperdissipative operator M accretive operator Strong monotone operator Generalized solution |
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