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Parabolic equation of them-Laplacian with nonlinear boundary condition

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Chinese Science Bulletin

Abstract

The existence and nonexistence of global positive weak solutions of parabolic equation of them-Laplician with nonlinear boundary condition are dealt with. The necessary and sufficient conditions an the existence of all global positive weak solutions are obtained.

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References

  1. Anderson, J. R., Local existence and uniqueness of solutions of degenerate parabolic equations.Commu. in Partial Diff. Eqns., 1991, 16(1): 105.

    Article  Google Scholar 

  2. Fila, M., Filo, J., Blow-up on the boundary: a survey, inSingularities and Differential Equations, Banach Center Publications, Vol. 33, Warszawa: Polisch Academic of Science, 1996.

    Google Scholar 

  3. Filo, J., Diffusivity versus absorption through the boundary,J. Diff. Eqns., 1992, 99: 281.

    Article  Google Scholar 

  4. Ye, Q. X., Li, Z. Y.,Inlnduction to Reaction-Diffusion Equations (in Chinese), Beijing: Science Press, 1990.

    Google Scholar 

  5. Wang, M. X., Wu, Y. H., Global existence and blow-up problems for quasilinear parabdic equations with nonlinear boundary conditions,SIAM J. Math. Anal., 1993, 24: 1515.

    Article  Google Scholar 

  6. Levine, H. A., The rule of critical exponents in blow up theorem,SIAM Reveiw, 1990, 32: 262.

    Article  Google Scholar 

  7. Alt, H. W., Luckhaus, S., Quasilinear elliptic-parabolic differential equations,Math. Z., 1983, 183: 311.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathernntics, Nanjing University, 210093, Nanjing, China

    Wang Shu & Xie Chunhong

  2. Department of Mathematics, Henan University, 475001, Kaifeng, China

    Wang Shu

  3. Department of Applied Mathematics, Southeast University, 210018, Nanjing, China

    Wang Mingxin

Authors
  1. Wang Shu
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  2. Wang Mingxin
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  3. Xie Chunhong
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Cite this article

Shu, W., Mingxin, W. & Chunhong, X. Parabolic equation of them-Laplacian with nonlinear boundary condition. Chin. Sci. Bull. 43, 905–908 (1998). https://doi.org/10.1007/BF02884608

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  • DOI: https://doi.org/10.1007/BF02884608

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