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On the correct solvability of parabolic systems with degeneration on the initial hyperplane
Medynsky Igor 1 , Ivasyshen Stepan Dmytrovych 2
1 Department of Applied Mathematics, Lviv polytechnic national university, Lviv, 79007, Ukraine
2 Department of Mathematical Physics and Differential Equations, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, 01001, Ukraine
Keywords: parabolic systems with degeneration, the initial hyperplane, Hölder spaces
Abstract

The correct resolvability of parabolic systems with degenerations on the initial hyperplane in special weight spaces is established.

References

[1] Voznyak O.G., Ivasyshen S.D. Cauchy problem for parabolic systems with degeneration on the initial hyperplane // Supplement of the Academy of Sciences of Ukraine. – 1994. – No. 6. – P.7–11.

[2] Voznyak O.G., Ivasyshen S.D. Fundamental matrices of solutions of parabolic systems with degeneration on the initial hyperplane. – Chernivtsi. univ. – Chernivtsi, 1995. – 51p.–Dep. in the State Technical University of Ukraine 12.07.95, N1808-Uk95.

[3] Medinsky I. P. On the properties of the fundamental matrix of solutions to the Cauchy problem for a parabolic system with degeneration on the initial hyperplane // Bulletin of the State University "Lviv Polytechnic". N364. Applied Mathematics. – Lviv: Publishing House of the State University "Lviv Polytechnic", 1999. – P.298–307.

[4] Eidelman S.D. Parabolic systems. - M.: Nauka, 1964. - 443 p.

Cite
ACS Style
Medynsky, I.; Ivasyshen, S.D. On the correct solvability of parabolic systems with degeneration on the initial hyperplane. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Medynsky I, Ivasyshen SD. On the correct solvability of parabolic systems with degeneration on the initial hyperplane. Bukovinian Mathematical Journal. 2018; 1(76).
Chicago/Turabian Style
Igor Medynsky, Stepan Dmytrovych Ivasyshen. 2018. "On the correct solvability of parabolic systems with degeneration on the initial hyperplane". Bukovinian Mathematical Journal. 1 no. 76.
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