Mellin analysis of partial differential equations in papers of B. Ziemian

• Autorzy: Henryk Kołakowski
• Języki publikacji: EN

Abstrakty

EN

Existence and regularity theorems for Fuchsian type differential operators and the theory of second microlocalization are presented.

Słowa kluczowe

EN

Mellin transformation; propagation of singularities; singular elliptic operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 74
• Numer: 1
• Strony: 27-33

Daty

wydano

2000

otrzymano

2000-02-20

Twórcy

autor

Henryk Kołakowski

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

• [1] J. M. Bony, Second microlocalization and propagation of singularities for semilinear hyperbolic equations, in: Hyperbolic Equations and Related Topics (Kataka/Tokyo, 1984), Academic Press, Boston, 1986, 11-49.
• [2] Z. Szmydt and B. Ziemian, Multidimensional Mellin transformation and partial differential operators with regular singularity, Bull. Polish Acad. Sci. Math. 35 (1987), 167-180.
• [3] Z. Szmydt and B. Ziemian, Solutions of singular elliptic equations via the Mellin transformation on sets of high order of tangency to the singular lines, ibid. 36 (1988), 521-535.
• [4] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer, Dordrecht, 1992.
• [5] 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.
• [6] B. Ziemian, Elliptic corner operators in spaces with continuous radial asymptotics, I, ibid. 101 (1993), 28-57.
• [7] B. Ziemian, Elliptic corner operators in spaces with continuous radial asymptotics, II, in: Banach Center Publ. 27, Inst. Math., Polish Acad. Sci., 1992, 555-580.
• [8] B. Ziemian and H. Kołakowski, Second microlocalization and the Mellin transformation, Publ. RIMS Kyoto Univ. 26 (1990), 785-801.