# Some partial differential equations in Clifford analysis

Banach Center Publications (1996)

- Volume: 37, Issue: 1, page 173-179
- ISSN: 0137-6934

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topObolashvili, Elena. "Some partial differential equations in Clifford analysis." Banach Center Publications 37.1 (1996): 173-179. <http://eudml.org/doc/208594>.

@article{Obolashvili1996,

abstract = {Using Clifford analysis in a multidimensional space some elliptic, hyperbolic and parabolic systems of partial differential equations are constructed, which are related to the well-known classical equations. To obtain parabolic systems Clifford algebra is modified and some corresponding differential operator is constructed. For systems obtained the boundary and initial value problems are solved.},

author = {Obolashvili, Elena},

journal = {Banach Center Publications},

keywords = {boundary and initial value problems},

language = {eng},

number = {1},

pages = {173-179},

title = {Some partial differential equations in Clifford analysis},

url = {http://eudml.org/doc/208594},

volume = {37},

year = {1996},

}

TY - JOUR

AU - Obolashvili, Elena

TI - Some partial differential equations in Clifford analysis

JO - Banach Center Publications

PY - 1996

VL - 37

IS - 1

SP - 173

EP - 179

AB - Using Clifford analysis in a multidimensional space some elliptic, hyperbolic and parabolic systems of partial differential equations are constructed, which are related to the well-known classical equations. To obtain parabolic systems Clifford algebra is modified and some corresponding differential operator is constructed. For systems obtained the boundary and initial value problems are solved.

LA - eng

KW - boundary and initial value problems

UR - http://eudml.org/doc/208594

ER -

## References

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- [2] A. Bitsadze, Boundary value problems of elliptic equations of second order, Nauka, Moscow, 1966 (Russian). Zbl0167.09401
- [3] F. Brack, R. Delanghe, F. Sommen, Clifford Analysis, Pitman, London, 1982.
- [4] A. Dzhuraev, On the Moisil-Theodorescu system, P.D.E. with complex analysis, (editors H. Begher and A. Jeffrey), Longman Scient. and Techn. 1992, 186-203. Zbl0826.35017
- [5] K. Gurlebeck, W. Sproßig, Quaternionic analysis and elliptic boundary value problems, Akademie-Verlag, Berlin 1989. Zbl0699.35007
- [6] K. Habetha, Function theory in algebras. Complex analysis, Methods, Trends and Applications. Ak. Verlag, Berlin 1983, 225-237.
- [7] V. Iftime, Fonctions hypercomplexes. Bull. Math. R. S. de Roumanie 9(57) (1965), 279-332.
- [8] H. Liede, The existence and uniqueness theorems of the linear and nonlinear R.-H. problems for the generalized holomorphic vector of the second kind, Acta Math. Sci. Engl. Ed. 10 no. 2 (1990), 185-199. Zbl0722.30025
- [9] G. Moisil, N. Theodorescu, Fonctions holomorphes dans l'espace, Mathematica 5 (1931).
- [10a] E. Obolashvili, Space generalized holomorphic vectors, Diff. Urav. T.XI.1, 1975, 108-115. Minsk (Russian).
- [10b] E. Obolashvili, Effective solutions of some boundary value problems in two and three dimensional cases, Functional analytic methods in complex analysis and applications to PDE, 1988.Trieste, 149-172.
- [10c] E. Obolashvili, Some boundary value problems for metaparabolic equations (Russian). Proceeding of I. Vekua Inst. of Applied math. T.1, N.1, 1985, 161-164.

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