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The Dirichlet Problem for a Quasilinear Singularly Perturbed Second Order System

โœ Scribed by Zhiming Wang; Wuzhong Lin

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
170 KB
Volume
201
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We study an equivalent form of the Dirichlet problem for a quasilinear singularly perturbed second order system, which is a singular singularly perturbed boundary value problem. In this way, we have not only eliminated the usual assumption of the existence of a vector potential function, but also proved the existence and uniqueness of the exact solution of the studied problem. Meanwhile, an asymptotic analysis and a remainder estimate of the solution are also presented.

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