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The Systems of Second Order Partial Differential Equations with Constant Coefficients

  • Chapter
Partial Differential Equations in China

Part of the book series: Mathematics and Its Applications ((MAIA,volume 288))

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Abstract

Consider the system [1]

$$ A\frac{{{{\partial }^{2}}u}}{{\partial {{x}^{2}}}} + 2B\frac{{{{\partial }^{2}}u}}{{\partial x\partial y}} + C\frac{{{{\partial }^{2}}u}}{{\partial {{y}^{2}}}} = f, $$
((I))

where A, B, C are 2 × 2 real eonstant matriees and u = (u 1, u 2)T, f = (f 1, f 2)T are two dimensional real veetor functions of x, y.

1991 Mathematics Subject Classification: 35J55, 35L55, 35M05

Supported by NNSF of China

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Author information

Authors and Affiliations

  1. Zhongshan University, China

    Wei Lin & Ciquian Wu

Authors
  1. Wei Lin
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  2. Ciquian Wu
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Editor information

Editors and Affiliations

  1. Fudan University, Shanghai, China

    Chaohao Gu

  2. Institute of Applied Mathematics, Academia Sinica, Beijing, China

    Xiaxi Ding

  3. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

    Chung-Chun Yang

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© 1994 Springer Science+Business Media Dordrecht

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Lin, W., Wu, C. (1994). The Systems of Second Order Partial Differential Equations with Constant Coefficients. In: Gu, C., Ding, X., Yang, CC. (eds) Partial Differential Equations in China. Mathematics and Its Applications, vol 288. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1198-0_12

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  • DOI: https://doi.org/10.1007/978-94-011-1198-0_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4524-7

  • Online ISBN: 978-94-011-1198-0

  • eBook Packages: Springer Book Archive

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