Abstract
In this paper we consider the singularly pertuŕbed boundary value problem for the fourth-order elliptic differential equation, establish the energy estimates of the solutionand its derivatives and construct the formal asymptotic solution by Lyuternik-Vishik's method. Finally, by means of the energy estimates we obtain the bound of the remainder of the asymptotic solution.
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Yu-cheng, S., Guo-qing, L. Asymptotic solution of singular perturbation problems for the fourth-order elliptic differential equations. Appl Math Mech 11, 637–650 (1990). https://doi.org/10.1007/BF02017479
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DOI: https://doi.org/10.1007/BF02017479