ArticleOriginal scientific text

Title

Elliptic corner operators in spaces with continuous radial asymptotics II

Authors 1

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

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.

Bibliography

  1. L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1985.
  2. H. Komatsu, An introduction to the theory of hyperfunctions, Lecture Notes in Math. 287, Springer, 1973, 1-43.
  3. B. Malgrange, Introduction aux travaux de J. Ecalle, prépublication de l'Institut de Fourier, Université de Grenoble, 20 (1984).
  4. F. Pham, B. Candelpergher et C. Nosmos, Visite aux sources, prépublication de l'Université de Nice, 1989.
  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.
  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. Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Math. Appl. 56, Kluwer, 1992.
  8. B. Ziemian, Taylor formula for distributions, Dissertationes Math. 264 (1988).
  9. B. Ziemian, The Mellin transformation and multidimensional generalized Taylor expansions of singular functions, J. Fac. Sci. Univ. Tokyo 36 (1989), 263-295.
  10. B. Ziemian, The modified Cauchy transformation with applications to generalized Taylor expansions, Studia Math. 102 (1992), 1-24.
  11. B. Ziemian, Elliptic corner operators in spaces with continuous radial asymptotics I, J. Differential Equations, to appear.
  12. B. Ziemian, Generalized analytic functions, in preparation.
  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. B. Ziemian and H. Kołakowski, Second microlocalization and the Mellin transformation, Publ. RIMS Kyoto Univ. 26 (1990), 785-801.
Pages:
555-580
Main language of publication
English
Published
1992
Exact and natural sciences