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Partial Differential Equations in China pp 1–18Cite as

Degenerate Parabolic and Elliptic Equations

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

Abstract

The region where the equation deteriorates is fixed for linear and semilinear degenerate equations. The cases usually discussed are that the degenerate region is on the boundary. The two approaches are often used. One is the barrier argument and another is introducing the weighted Sobolev spaces.

1991 Mathematics Subject Classification: 35J70, 35K65, 35J25, 35J65, 35J60, 35K20, 35K15, 35K20, 35K55, 35K60, 35B65

Supported by NNSF of China

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Authors and Affiliations

  1. Department of Mathematics, Beijing University, Beijing, China

    Yazhe Chen

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  1. Yazhe Chen
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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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Chen, Y. (1994). Degenerate Parabolic and Elliptic Equations. 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_1

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  • DOI: https://doi.org/10.1007/978-94-011-1198-0_1

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