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Singular perturbation for reaction diffusion equations

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Abstract

The singularly perturbed initial boundary value problems for reaction diffusion equations are considered. Under suitable conditions and by using the theory of differential inequality, the asymptotic behavior of solution for initial boundary value problems are studied, where the reduced problems possess two intersecting solutions.

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References

  1. de Jager, E. M., Jiang Furu, The Theory of Singular Perturbation, Amsterdam: North-Holland Publishing Co., 1996.

    Google Scholar 

  2. Bohé, A., The shock location for a class of sensitive boundary value problems, J. Math. Anal. Appl., 1999,235:295–314.

    Article  MATH  Google Scholar 

  3. Butuzov, V. F., Smurov, I., Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability, J. Math. Anal. Appl., 1999,234:183–192.

    Article  MATH  Google Scholar 

  4. O’Malley, R. E. Jr., On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé, J. Math. Anal. Appl., 2000,242:18–38.

    Article  MATH  Google Scholar 

  5. Butuzov, V. F., Nefedov, N. N., Schneider, K. R., Singularly perturbed elliptic problems in the case of exchange of stabilities, J. Differential Equations, 2001,169:373–395.

    Article  MATH  Google Scholar 

  6. Kelley, W. G., A singular perturbation problem of Carrier and Pearson, J. Math. Anal. Appl., 2001,255:678–697.

    Article  MATH  Google Scholar 

  7. Mo Jiaqi, A singularly perturbed nonlinear boundary value problem, J. Math. Anal. Appl., 1993:178:289–293.

    Article  MATH  Google Scholar 

  8. Mo Jiaqi, A class of singularly perturbed boundary value problems for nonlinear differential systems, Sys. Sci. Math. Sci., 1999,12:55–58.

    MATH  Google Scholar 

  9. Mo Jiaqi, Singular perturbation for a class of nonlinear reaction diffusion systems, Science in China, Ser. A, 1989,32:1306–1315.

    MATH  Google Scholar 

  10. Mo Jiaqi, Feng Maochun, The nonlinear singularly perturbed problems for reaction diffusion equations with time delay, Acta Math. Sci., 2001,21B:254–258.

    Google Scholar 

  11. Mo Jiaqi, The singularly perturbed probelm for combustion reaction diffusion, Acta Math. Appl. Sinica, 2001,17:255–259.

    Article  MATH  Google Scholar 

  12. Mo Jiaqi, Shao, S., The singularly perturbed boundary value problems for higher-order semilinear elliptic equations, Advances in Math., 2001,30(2):141–148.

    MATH  Google Scholar 

  13. Mo Jiaqi, Ouyang Cheng, A class of nonlocal boundary value problems of nonlinear elliptic systems in unbounded domains, Acta Math. Sci., 2001,21:93–97.

    MATH  Google Scholar 

  14. Mo Jiaqi, A class of nonlocal singularly perturbed problems for nonlinear hyperbolic differenttial equation, Acta Math. Appl. Sinica, 2001,17(4):469–474.

    Article  MATH  Google Scholar 

  15. Ma Shiwang, Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem, J. Differential Equations, 2001,171:294–314.

    Article  MATH  Google Scholar 

  16. Pao, C. V., Nonlinear Parabolic Elliptic Equations, New York:Plenum Press, 1992.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Dept. of Math., Huzhou Teachers College, 313000, Huzhou, China

    Mo Jiaqi, Wang Hui & Zhu Jiang

  2. Committee of National Natural Sciences Foundation of China, 100085, Beijing, China

    Mo Jiaqi, Wang Hui & Zhu Jiang

  3. ICEES, Institute of Atmospheric Physics, Chinese Academy of Sciences, 100029, Beijing, China

    Mo Jiaqi, Wang Hui & Zhu Jiang

Authors
  1. Mo Jiaqi
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  2. Wang Hui
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  3. Zhu Jiang
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Additional information

Supported by the National Natural Scince Foundation of China (10071048), and the “Hundred Talents Project” of Chinese Academy of Sciences.

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Jiaqi, M., Hui, W. & Jiang, Z. Singular perturbation for reaction diffusion equations. Appl. Math. Chin. Univ. 18, 251–257 (2003). https://doi.org/10.1007/s11766-003-0048-8

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  • DOI: https://doi.org/10.1007/s11766-003-0048-8

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