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

Henryk Kołakowski

Annales Polonici Mathematici (2000)

  • Volume: 74, Issue: 1, page 27-33
  • ISSN: 0066-2216

Abstract

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

How to cite

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Kołakowski, Henryk. "Mellin analysis of partial differential equations in papers of B. Ziemian." Annales Polonici Mathematici 74.1 (2000): 27-33. <http://eudml.org/doc/208372>.

@article{Kołakowski2000,
abstract = {Existence and regularity theorems for Fuchsian type differential operators and the theory of second microlocalization are presented.},
author = {Kołakowski, Henryk},
journal = {Annales Polonici Mathematici},
keywords = {Mellin transformation; propagation of singularities; singular elliptic operators; second microlocalization approach; second wave front set},
language = {eng},
number = {1},
pages = {27-33},
title = {Mellin analysis of partial differential equations in papers of B. Ziemian},
url = {http://eudml.org/doc/208372},
volume = {74},
year = {2000},
}

TY - JOUR
AU - Kołakowski, Henryk
TI - Mellin analysis of partial differential equations in papers of B. Ziemian
JO - Annales Polonici Mathematici
PY - 2000
VL - 74
IS - 1
SP - 27
EP - 33
AB - Existence and regularity theorems for Fuchsian type differential operators and the theory of second microlocalization are presented.
LA - eng
KW - Mellin transformation; propagation of singularities; singular elliptic operators; second microlocalization approach; second wave front set
UR - http://eudml.org/doc/208372
ER -

References

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  1. [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. [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. Zbl0666.35038
  3. [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. Zbl0777.35025
  4. [4] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer, Dordrecht, 1992. Zbl0771.35002
  5. [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. [6] B. Ziemian, Elliptic corner operators in spaces with continuous radial asymptotics, I, ibid. 101 (1993), 28-57. Zbl0777.47028
  7. [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. Zbl0813.47061
  8. [8] 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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