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Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (10): 1377-1381 .doi: https://doi.org/10.1007/s10483-008-1012-z

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Nonlinear singularly perturbed problems of ultra parabolic equations

LIN Su-rong1;MO Jia-qi2,3   

  1. 1. Department of Computer, Fujian Radio and TV University, Fuzhou 350003, P. R. China; 2. Department of Mathematics, Anhui Normal University,Wuhu 241000,Anhui Province, P. R. China; 3. Division of Computational Science, E-Institute of Shanghai Universities at SJTU,Shanghai 200240, P. R. China
  • Received:2007-11-21 Revised:2008-08-12 Online:2008-10-01 Published:2008-10-01
  • Contact: LIN Su-rong

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Abstract: A class of nonlinear singularly perturbed problem of ultra parabolic equations are considered. Using the comparison theorem, the existence, uniqueness and its asymptotic behavior of solution for the problem are studied.

Key words: ultra parabolic equation, singular perturbation, asymptotic behavior, comparison theorem

2010 MSC Number: 

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