Laplace integrals in partial differential equations in papers of Bogdan Ziemian
Łysik, Grzegorz
Annales Polonici Mathematici, Tome 75 (2000), p. 43-50 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Fundamental solutions to linear partial differential equations with constant coefficients are represented in the form of Laplace type integrals.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:208375 
@article{bwmeta1.element.bwnjournal-article-apmv74z1p43bwm,
     author = {\L ysik, Grzegorz},
     title = {Laplace integrals in partial differential equations in papers of Bogdan Ziemian},
     journal = {Annales Polonici Mathematici},
     volume = {75},
     year = {2000},
     pages = {43-50},
     zbl = {0967.35005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv74z1p43bwm}
}

Łysik, Grzegorz. Laplace integrals in partial differential equations in papers of Bogdan Ziemian. Annales Polonici Mathematici, Tome 75 (2000) pp. 43-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv74z1p43bwm/

[000] [B] B. L. J. Braaksma, Multisummability of formal power series solutions of nonlinear meromorphic differential equations, Ann. Inst. Fourier (Grenoble) 42 (1992), 517-540. | Zbl 0759.34003

[001] [Ec] J. Ecalle, Les fonctions résurgentes, Publ. Math. Univ. de Paris-Sud, 1980.

[002] [Eh] L. Ehrenpreis, A fundamental principle for systems of linear differential equations with constant coefficients and some of its applications, in: Proc. Internat. Sympos. on Linear Spaces (Jerusalem, 1960), 1961, 161-174.

[003] [L] J. Leray, Le calcul différentiel et intégral sur une variété analytique complexe, Bull. Soc. Math. France 87 (1959), 81-180. | Zbl 0199.41203

[004] [NZ] Nguyen Si Minh and B. Ziemian, A remark on Nilsson type integrals, in: Singularities and Differential Equations, Banach Center Publ. 33, Inst. Math., Polish Acad. Sci., Warszawa, 1996, 227-285. | Zbl 0856.32006

[005] [N] N. Nilsson, Some growth and ramification properties of certain multiple integrals, Ark. Mat. 5 (1965), 463-476. | Zbl 0168.42004

[006] [P] V. P. Palamodov, General form of solutions of linear differential operators with constant coefficients, Dokl. Akad. Nauk SSSR 143 (1962), 1278-1281 (in Russian).

[007] [SZ] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Math. Appl. 56, Kluwer, 1992. | Zbl 0771.35002

[008] [Z1] B. Ziemian, Leray residue formula and asymptotics of solutions to constant coefficient PDEs, Topol. Methods Nonlinear Anal. 3 (1994), 257-293. | Zbl 0813.47060

[009] [Z2] B. Ziemian, Generalized analytic functions with applications to singular ordinary and partial differential equations, Dissertationes Math. 354 (1996).