The small parameter method for regular linear differential equations on unbounded domains


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Authors

  • Garnik Karapetyan
  • Hovhannes Tananyan

Keywords:

maximal operators, generalized Morrey spaces, regular operator, hypoelliptic operator, boundary layer, regular degeneration, singular perturbation

Abstract

 Algorithms for the asymptotic expansion of the solution to the Dirichlet problem for a regular equation with a small parameter \( \varepsilon \) (\( \varepsilon > 0 \)) at higher derivatives on an unbounded domain (the whole space, the half space and a strip), based on the solution to the degenerate (as \( \varepsilon \to 0 \)) Dirichlet problem for a regular hypoelliptic equation of the lower order, are described. Estimates for remainder terms of those expansions are obtained.

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Published

2013-06-30

How to Cite

Karapetyan, G., & Tananyan, H. (2013). The small parameter method for regular linear differential equations on unbounded domains. Eurasian Mathematical Journal, 4(2), 23–35. Retrieved from https://emj.enu.kz/index.php/main/article/view/509

Issue

Vol. 4 No. 2 (2013)

Section

Articles