Elliptic corner operators in spaces with continuous radial asymptotics II

• Autorzy: Bogdan Ziemian
• 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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1992
• Tom: 27
• Numer: 2
• Strony: 555-580

Daty

wydano

1992

Twórcy

autor

Bogdan Ziemian

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

Bibliografia

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• [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.