Properties of some integrals related to partial differential equations of order higher than two

Jan Popiołek

Annales Polonici Mathematici (1997)

  • Volume: 65, Issue: 2, page 129-138
  • ISSN: 0066-2216

Abstract

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We construct fundamental solutions of some partial differential equations of order higher than two and examine properties of these solutions and of some related integrals. The results will be used in our next paper concerning boundary-value problems for these equations.

How to cite

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Jan Popiołek. "Properties of some integrals related to partial differential equations of order higher than two." Annales Polonici Mathematici 65.2 (1997): 129-138. <http://eudml.org/doc/270013>.

@article{JanPopiołek1997,
abstract = {We construct fundamental solutions of some partial differential equations of order higher than two and examine properties of these solutions and of some related integrals. The results will be used in our next paper concerning boundary-value problems for these equations.},
author = {Jan Popiołek},
journal = {Annales Polonici Mathematici},
keywords = {partial differential equation; boundary-value problem; Volterra integral equation; properties of fundamental solution},
language = {eng},
number = {2},
pages = {129-138},
title = {Properties of some integrals related to partial differential equations of order higher than two},
url = {http://eudml.org/doc/270013},
volume = {65},
year = {1997},
}

TY - JOUR
AU - Jan Popiołek
TI - Properties of some integrals related to partial differential equations of order higher than two
JO - Annales Polonici Mathematici
PY - 1997
VL - 65
IS - 2
SP - 129
EP - 138
AB - We construct fundamental solutions of some partial differential equations of order higher than two and examine properties of these solutions and of some related integrals. The results will be used in our next paper concerning boundary-value problems for these equations.
LA - eng
KW - partial differential equation; boundary-value problem; Volterra integral equation; properties of fundamental solution
UR - http://eudml.org/doc/270013
ER -

References

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  1. [1] E. A. Baderko, On solvability of boundary-value problems for parabolic equations of higher order in domains with curvilinear boundaries, Differentsial'nye Uravneniya 12 (1976), 1782-1792 (in Russian). 
  2. [2] T. D. Dzhuraev, The boundary-value problems for equations of mixed and mixed-composite types, FAN, Tashkent, 1979 (in Russian). Zbl0487.35068
  3. [3] I. S. Gradshteĭn and E. M. Ryzhik, Tables of Integrals, Sums, Series and Products, Nauka, Moscow, 1962 (in Russian). 
  4. [4] W. Pogorzelski, Integral Equations and their Applications, Vol. 2, PWN, Warszawa, 1958 (in Polish). Zbl0082.09502

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