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1992 | 27 | 2 | 555-580
Tytuł artykułu

Elliptic corner operators in spaces with continuous radial asymptotics II

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
Rocznik
Tom
27
Numer
2
Strony
555-580
Opis fizyczny
Daty
wydano
1992
Twórcy
  • Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
Bibliografia
  • [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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-bcpv27z2p555bwm
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