On the Uniformly Valid Asymptotic Solution of a Non-linear Dirichlet Problem

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Jiang Fu-ru. On the Uniformly Valid Asymptotic Solution of a Non-linear Dirichlet Problem[J]. Applied Mathematics and Mechanics, 1982, 3(2): 145-165.

Citation:

Jiang Fu-ru. On the Uniformly Valid Asymptotic Solution of a Non-linear Dirichlet Problem[J]. Applied Mathematics and Mechanics, 1982, 3(2): 145-165.

Citation:

Jiang Fu-ru. On the Uniformly Valid Asymptotic Solution of a Non-linear Dirichlet Problem[J]. Applied Mathematics and Mechanics, 1982, 3(2): 145-165.

Abstract

In this paper, Dirichlet problem for second order quasi-linear elliptic equation with a small parameter at highest derivatives is studied. In case the degenerate equation has no singular point, and parameter ε is sufficiently small, the existence and uniqueness of solution are proved The uniformly valid asymptotic approximation of solution is derived in the entire region.

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