The Newton polygon approach for boundary value problems with general boundary conditions

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2000
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Volevič, Leonid R.
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Spectral and Evolutional Problems. 2000, 10, pp. 115-121
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A large class of parameter-dependent elliptic problems was introduced in the sixties by Agmon and Agranovich-Vishik. Some important examples, however, cannot be treated with the classical methods, for instance, singularly perturbed problems and the resolvent of Douglis-Nirenberg systems. This paper gives a short survey on the results of the so-called Newton polygon approach applied to singularly perturbed boundary value problems and to systems of mixed order depending in a specific way on a complex parameter.

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510 Mathematik
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ISO 690DENK, Robert, Leonid R. VOLEVIČ, 2000. The Newton polygon approach for boundary value problems with general boundary conditions. In: Spectral and Evolutional Problems. 2000, 10, pp. 115-121
BibTex
@article{Denk2000Newto-658,
  year={2000},
  title={The Newton polygon approach for boundary value problems with general boundary conditions},
  volume={10},
  journal={Spectral and Evolutional Problems},
  pages={115--121},
  author={Denk, Robert and Volevič, Leonid R.}
}
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