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Abstrakty
The aim of the paper is to prove a uniqueness criterion of a classical solution of a biparabolic problem in an unbounded domain with a curvilinear boundary.
Czasopismo
Rocznik
Tom
Strony
5--14
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Division of Descriptive Geometry, Cracow University of Technology, Warszawska 24, 31-155 Cracov, Poland
Bibliografia
- [1] F. Barański, J. Musiałek, Biparabolic Problem for Time Half-Plane with Boundary Conditions of Lauricella Type, Demonstration Mathematica, 15(1982), 1-16.
- [2] F. Barański, J. Musiałek, Biparabolic Problem for the Curvilinear Trapezium, Zeszyty Naukowe Politechniki Ślaskiej, 64(1990), 37-49.
- [3] F. Barański, J. Musiałek, Bicaloric Problem for the Strip with Lauricella Boundary Conditions, Fasciculi Mathematici, 19(1990), 21-34.
- [4] F. Barański, J. Musiałek, On a Certain Bicaloric Problem, Comentationes Mathematicae, 19(1977), 171-181.
- [5] A. Borzymowski, The First Bicaloric Problem in a Half-Space, Revue Roumaine Math. Pures App., 18(1973), 1521-1534.
- [6] J. Koroński, Uniquenes of the Biparabolic Problem for the Strip with Boundary Conditions of Lauricella Type, Opuscula Mathematica, 6(1990), 105-110.
- [7] J. Koroński, Uniquenes of the First Biparabolic Problem for the Curvilinear Trapezium, (to be published).
- [8] J. Koroński, J. Szuba-Brandys, Uniquenes and Existence of the Solution of the First Biparabolic Limit Problem for Half-Unbounded Time-Spatial Strip, Opuscula Mathematica, 16(1996), 35-50.
- [9] M. Krzyżański, Partial Diferential Equations of Second Order, PWN - Polish Scientific Publishess, Warszawa 1971.
- [10] J. Musiałek, M. Pytel-Kudela, Biparabolic Limit Problem for Half-Unbounded Domain and Lauricella Boundary Conditions, Opuscula Mathematica, 6(1990), 157-183.
- [11] Z. Pyrchla, The Bicaloric Problem for the Strip, Zeszyty Naukowe PK, 4(1982), 221-228.
- [12] Z. Pyrchla, The Limit Problems for the Bicaloric Equations, T. Kościuszko Technical University of Cracow, Monograph 77, (1989), 295-317.
- [13] P. Urbanowicz, On a Certain Non-Linear Boundary Value Problem for One-Dimensional Bicaloric Equation, Comentationes Mathematicae, 26(1986), 167-178.
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Bibliografia
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bwmeta1.element.baztech-article-BPP1-0042-0001