西藏大学学报
西藏大學學報
서장대학학보
Journal of Tibet University
2012年
2期
111~115
,共null页
麦克斯韦方程系统 唯一性 利普西斯连续
麥剋斯韋方程繫統 唯一性 利普西斯連續
맥극사위방정계통 유일성 리보서사련속
Maxwell's equations; Uniqueness;Lipschitz continuous
文章证明了麦克斯韦方程组在非均匀、备向异性介质中的解的唯一性,其中假设了方程的系数矩阵函数为利普西斯连续并满足有关正定性条件。该结论与笔者在Onttniqll,en~$sfortimeharmonicanisotropicMaxwell'sequationswithpiecewiseregularcoefficients一文中提出的方程系数在分段正则情况下麦克斯韦方程组解的唯一性的结论不具有相互依赖性,各自具有独立的系数条件。
文章證明瞭麥剋斯韋方程組在非均勻、備嚮異性介質中的解的唯一性,其中假設瞭方程的繫數矩陣函數為利普西斯連續併滿足有關正定性條件。該結論與筆者在Onttniqll,en~$sfortimeharmonicanisotropicMaxwell'sequationswithpiecewiseregularcoefficients一文中提齣的方程繫數在分段正則情況下麥剋斯韋方程組解的唯一性的結論不具有相互依賴性,各自具有獨立的繫數條件。
문장증명료맥극사위방정조재비균균、비향이성개질중적해적유일성,기중가설료방정적계수구진함수위리보서사련속병만족유관정정성조건。해결론여필자재Onttniqll,en~$sfortimeharmonicanisotropicMaxwell'sequationswithpiecewiseregularcoefficients일문중제출적방정계수재분단정칙정황하맥극사위방정조해적유일성적결론불구유상호의뢰성,각자구유독립적계수조건。
The uniqueness of solution for 3D anisotropic inhomogeneous Maxwell's equations was proved in this paper and the coefficient of Maxwell's equations is assumed to be Lipsehitz continuous. The paper gives the newest result for the proof of unique solution of Maxwell's equations with piecewise regular coefficients, however the result given in this paper is independent from the one another. They require different assumptions. regularity