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

Izv. Akad. Nauk SSSR Ser. Mat., 1971 Volume 35, Issue 1, Pages 202–209 (Mi im1930)

This article is cited in 1 paper

Differential properties of solutions of elliptic boundary-value problems with power singularities on the right-hand sides

Yu. P. Krasovskii


Abstract: Exact bounds are obtained for the derivatives of the solutions of general boundary-value problems for elliptic equations of order $2m$ in the neighborhood of a power singularity. The order of the singularity is arbitrary, and it can be at an interior point or on the boundary.

UDC: 517.9

MSC: Primary 35D99, 35J40; Secondary 46F99

Received: 04.11.1969


 English version:
Mathematics of the USSR-Izvestiya, 1971, 5:1, 211–219

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