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一类拟线性方程Cauchy问题的可解性

The Solvability of a Kind of Quasilinear Equation Cauchy Problem
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摘要 根据一类拟线性方程的积分曲面和特征曲线之间的关系,研究了一类拟线性方程Cauchy问题的可解性。给出了特征曲线的求法,并将积分曲面推广到n元函数形式。 The solvability of the Cauchy problem is studied in this paper through the relation between characteristic curves and integral surfaces of a class of quasilinear equations.The calculation method of the characteristic curve is presented and the integral surface is also extended to the n-element function forms.
作者 金启胜 JIN Qisheng(Anqing Vocational and Technical College,Anqing 246003,China)
出处 《安阳师范学院学报》 2023年第5期12-14,共3页 Journal of Anyang Normal University
基金 2020年安徽省教育厅项目(项目编号:2020kcszjxtd51) 2022年安徽省特色高水平专业(项目编号:2022tsgsp046)。
关键词 CAUCHY问题 特征曲线 积分曲面 Cauchy problem characteristic curve integral surface
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  • 1陈祖墀.偏微分方程[M].合肥:中国科学技术大学出版社,2004:149-157.
  • 2PAO C V. Quasilinear parabolic and elliptic equations with nonlinear boundary, conditions [ J ]. Nonlinear Analysis, 2007, 66:639-662.
  • 3PAO C V, RUAN W H. Positive solutions of quasi linear parabolic systems with nonlinear boundary conditions [J]. Math Anal Appl, 2007, 333:472-499.
  • 4DAY W A. A decreasing property of solutions of parabolic equation with application to thermoelasticity [J]. Quart Appl Math, 1983, 40:468-475.
  • 5DENG K. Comparison principle for some non.local problems [J]. Quart Appl Math, 1992, 50:517-522.
  • 6PAO C V. Dynamics of reaction diffusion equations with nonlocal boundary conditions [J]. Quart Appl Math, 1995, 53 : 173-186.
  • 7WANG Y L, MU C L, XIANG Z Y. Blowup of solutions to a porous medium equation with nonlocal boundary condition [ J ]. Applied Mathematics and Computation, 2007, 192:579-585-.
  • 8CUI Z J, YANG Z D. Roles of weight functions to a nonlinear porous medium equation with nonlocal source and nonlocal boundary condition [ J ], Math Anal Appl, 2008, 342:559-570.
  • 9LADYZENSKAJA O A, SOLONNIKOV V A, URAKL' CEVA N N. Linear and quasi-linear equations of parabolic type [M]. Prividence: Amer Math Soc, 1968.
  • 10PAO C V. Nonlinear parabolic and elliptic equations [M]. New York: Plenum Press, 1992:48-52.

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