Singularly perturbed problems with a turning point: The non-compatible case-Reference-Cited by-同舟云学术

Singularly perturbed problems with a turning point: The non-compatible case

Published:2014-04-10 Issue:03 Volume:12 Page:293-321
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Jung Chang-Yeol¹,Temam Roger²

Affiliation:

1. Department of Mathematical Sciences, School of Natural Science, Ulsan National Institute of Science and Technology, UNIST-gil 50, Ulsan 689-798, Republic of Korea

2. The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405, USA

Abstract

The singularly perturbed problems with a turning point were discussed in [21]. The case where the limit problem is compatible with the given data was fully resolved. However, with limited compatibility conditions on the data, the asymptotic expansions were constructed only up to the order of the level of compatibilities. In this paper, using a smooth cut-off function compactly supported around the turning point we resolve the difficulties incurred from the non-compatible data and finally provide the full asymptotic expansions up to any order.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530513500279

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