Elliptic corner operators in spaces with continuous radial asymptotics II

Bogdan Ziemian

Banach Center Publications (1992)

  • Volume: 27, Issue: 2, page 555-580
  • ISSN: 0137-6934

Abstract

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Asymptotic expansions at the origin with respect to the radial variable are established for solutions to equations with smooth 2-dimensional singular Fuchsian type operators.

How to cite

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Ziemian, Bogdan. "Elliptic corner operators in spaces with continuous radial asymptotics II." Banach Center Publications 27.2 (1992): 555-580. <http://eudml.org/doc/262563>.

@article{Ziemian1992,
abstract = {Asymptotic expansions at the origin with respect to the radial variable are established for solutions to equations with smooth 2-dimensional singular Fuchsian type operators.},
author = {Ziemian, Bogdan},
journal = {Banach Center Publications},
keywords = {asymptotic expansions at the origin with respect to the radial variable; equations with smooth 2-dimensional singular Fuchsian type operators},
language = {eng},
number = {2},
pages = {555-580},
title = {Elliptic corner operators in spaces with continuous radial asymptotics II},
url = {http://eudml.org/doc/262563},
volume = {27},
year = {1992},
}

TY - JOUR
AU - Ziemian, Bogdan
TI - Elliptic corner operators in spaces with continuous radial asymptotics II
JO - Banach Center Publications
PY - 1992
VL - 27
IS - 2
SP - 555
EP - 580
AB - Asymptotic expansions at the origin with respect to the radial variable are established for solutions to equations with smooth 2-dimensional singular Fuchsian type operators.
LA - eng
KW - asymptotic expansions at the origin with respect to the radial variable; equations with smooth 2-dimensional singular Fuchsian type operators
UR - http://eudml.org/doc/262563
ER -

References

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  1. [1] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1985. Zbl0601.35001
  2. [2] H. Komatsu, An introduction to the theory of hyperfunctions, Lecture Notes in Math. 287, Springer, 1973, 1-43. Zbl0258.46040
  3. [3] B. Malgrange, Introduction aux travaux de J. Ecalle, prépublication de l'Institut de Fourier, Université de Grenoble, 20 (1984). 
  4. [4] F. Pham, B. Candelpergher et C. Nosmos, Visite aux sources, prépublication de l'Université de Nice, 1989. 
  5. [5] Z. Szmydt and B. Ziemian, Multidimensional Mellin transformation and partial differential operators with regular singularity, Bull. Polish Acad. Sci. Math. 35 (1987), 167-180. Zbl0666.35038
  6. [6] Z. Szmydt and B. Ziemian, Local existence and regularity of solutions of singular elliptic operators on manifolds with corner singularities, J. Differential Equations 83 (1990), 1-25. 
  7. [7] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Math. Appl. 56, Kluwer, 1992. Zbl0771.35002
  8. [8] B. Ziemian, Taylor formula for distributions, Dissertationes Math. 264 (1988). 
  9. [9] B. Ziemian, The Mellin transformation and multidimensional generalized Taylor expansions of singular functions, J. Fac. Sci. Univ. Tokyo 36 (1989), 263-295. Zbl0713.46025
  10. [10] B. Ziemian, The modified Cauchy transformation with applications to generalized Taylor expansions, Studia Math. 102 (1992), 1-24. Zbl0815.46035
  11. [11] B. Ziemian, Elliptic corner operators in spaces with continuous radial asymptotics I, J. Differential Equations, to appear. Zbl0777.47028
  12. [12] B. Ziemian, Generalized analytic functions, in preparation. 
  13. [13] B. Ziemian, Continuous radial asymptotics for solutions to elliptic Fuchsian equations in 2-dimensions, in: Proc. Symp. Microlocal Analysis, Publ. RIMS, Kyoto 26 (1990), 785-801. 
  14. [14] B. Ziemian and H. Kołakowski, Second microlocalization and the Mellin transformation, Publ. RIMS Kyoto Univ. 26 (1990), 785-801. Zbl0721.35004

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