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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1976 Volume 40, Issue 4, Pages 893–907 (Mi im2209)

The oblique derivative problem for parabolic equations with minimal smoothness and a degeneracy

M. I. Matiichuk


Abstract: A solution of the oblique derivative problem for a second order equation with coefficients having discontinuities of power order is determined in explicit form under minimal smoothness, and its properties are studied near the boundary and the point of degeneracy.
Bibliography: 12 titles.

UDC: 517.946

MSC: Primary 35K20; Secondary 45A05

Received: 04.02.1974


 English version:
Mathematics of the USSR-Izvestiya, 1976, 10:4, 845–859

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