Boundary estimates for the first-order derivatives of a solution to a nondivergent parabolic equation with composite right-hand side and coefficients of lower-order derivatives

Research output: Contribution to journal › Article › peer-review

P.L.Chebyschev Laboratory at Saint Petersburg State University
Department of Mathematical Physics

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DOI

https://doi.org/10.1007/BF02364860
Final published version

D. E. Apushkinskaya
A. I. Nazarov

A linear parabolic equation with special singularities is studied. A priori boundary estimates are established for the maximum of the modulus of the gradient of a solution and for the Hölder constants as well. These estimates depend linearly on the functions appearing on the right-hand side of the equation. Bibliography: 7 titles.

Original language	English
Pages (from-to)	3257-3276
Number of pages	20
Journal	Journal of Mathematical Sciences
Volume	77
Issue number	4
DOIs	https://doi.org/10.1007/BF02364860
State	Published - 1 Dec 1995

Scopus subject areas

Statistics and Probability
Mathematics(all)
Applied Mathematics

ID: 45874816