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THE MIXED PROBLEM FOR DEGENERATE ELLIPTIC EQUATIONS OF SECOND ORDER

THE MIXED PROBLEM FOR DEGENERATE ELLIPTIC EQUATIONS OF SECOND ORDER
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摘要 The present paper deals with the mixed boundary value problem for elliptic equations with degenerate rank 0. We first give the formulation of the problem and estimates of solutions of the problem, and then prove the existence of solutions of the above problem for elliptic equations by the above estimates and the method of parameter extension. We use the complex method, namely first discuss the corresponding problem for degenerate elliptic complex equations of first order, afterwards discuss the above problem for degenerate elliptic equations of second order The present paper deals with the mixed boundary value problem for elliptic equations with degenerate rank 0. We first give the formulation of the problem and estimates of solutions of the problem, and then prove the existence of solutions of the above problem for elliptic equations by the above estimates and the method of parameter extension. We use the complex method, namely first discuss the corresponding problem for degenerate elliptic complex equations of first order, afterwards discuss the above problem for degenerate elliptic equations of second order
作者 Guochun Wen
机构地区 Peking University
出处 《Analysis in Theory and Applications》 2005年第2期118-131,共14页 分析理论与应用(英文刊)
关键词 mixed problem elliptic equations degenerate rank 0 mixed problem, elliptic equations, degenerate rank 0
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参考文献7

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  • 2Oleinik, O. A., On Equation of Elliptic Type Degenerating on the Boundary of a Region, Dokl.Akad. Nauk SSSR (N.S.), 87(1952), 885-888. 被引量:1
  • 3Ding, Z. Z., The General Boundary Value Problem for a Class of Semilinear Second Order Degenerate Elliptic Equation, Acta Math. Sinica, 27(1984), 177-191 (Chinese). 被引量:1
  • 4Dong, G. C., Boundary Value Problems for Degenerate Elliptic Partial Differential Equations, Sci.Sinica, 4(1963), 105-126. 被引量:1
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