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Dynamo抛物方程在外区域对初始时刻几何的误差估计 被引量：1

ESTIMATES OF THE ERROR IN THE INITIAL-TIMES GEOMETRY FOR A PARABOLIC EQUATION FROM DYNAMO THEORY ON AN EXTERIOR DOMAIN
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摘要 本文导出了从Dynamo理论中提出的抛物方程的解在外区域上对初始时刻几何的连续依赖性. Continuous dependence on the initial-time geometry is derived for the solution of a parabolic equation from Dynamo theory on an exterior domain.
作者 董槐林
机构地区 厦门大学软件学院
出处 《数学年刊（A辑）》 CSCD 北大核心 2005年第3期313-324,共12页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10271098)资助的项目.
关键词 不适定问题 Dynamo抛物方程 连续依赖性 初始时刻几何 外区域 Dynamo equation,Continuous dependence, Initial-time geometry, Exterior domain
分类号 O175.26 [理学—基础数学]
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参考文献14

  • 1Cheng, J. & Yamamoto, M., Conditional stabilizing estimation for an integral equation of first kind with analytic kernel [J], J. Integral Equations and Applications, 12:1(2000),39-61.
  • 2Cheng, J., Stability for an inverse boundary problem of determining a part of a boundary [J], Inverse Problems, 15(1999), 1021-1032.
  • 3Knops, R. J. & Payne, L. E., Continuous data dependence for the equations of classical elastodynamics [J], Proc. Camb. Phil. Soc., 66(1969), 481-491.
  • 4Knops, R. J. & Payne, L. E., Improved estimates for continuous data dependence in linear elastodynamics [J], Math. Proc. Camb. Phil. Soc., 103(1988), 535-559.
  • 5Payne, L. E., On stabilizing ill-posed problems against error in geometry and modeling[A], in Proc. Conf. on Inverse and ill-Posed Problems: Strobhl [C], Engel, H. & Groetsch,C. W. (eds.), pp.399-416, Academic Press, New York, 1987.
  • 6Payne, L. E., On geometric and modeling perturbations in partial differential equations[A], in Proc. L.M.S. Sgmp. on Non-classical Continuum Mechanics [C], Knops, K. J. & Lacey, A. A. (eds), pp.108-128, Cambridge University Press, 1987.
  • 7Ames, K. A. & Payne, L. E., Continuous dependence on initial-time geometry for a thermoelastic system with sign-indefinite elasticities [J], J. Math. Anal. Appl., 189(1995),693-714.
  • 8Payne, L. E. & Straughan, B., Effects of errors in the initial-time geometry on the solution of the heat equation in an exteror domain [J], Q. J. Mech. Appl. Math., 43(1990),75-86.
  • 9Ames, K. & Straughan, B., Estimates of the error in the initial-time geometry for a parabolic equation from dynamo theory [J], J. of Differential Equations, 123(1995),153-170.
  • 10Lortz, D. & Meyer-Spasche, R., On the decay of symmetric toroidal dynamo fields [J],Z. Naturforschung, 37A(1982), 736-740.

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数学年刊（A辑）
2005年 第3期

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