Standard

Hölder estimates for solutions to the degenerate boundary-value venttsel' problem for parabolic and elliptic equations of nondivergence type. / Apushkinskaya, D. E.; Nazarov, A. I.

In: Journal of Mathematical Sciences , Vol. 97, No. 4, 01.01.1999, p. 4177-4188.

Research output: Contribution to journalArticlepeer-review

Harvard

APA

Vancouver

Author

BibTeX

@article{ff6a15ef1064487db66f6b2700bd0666,
title = "H{\"o}lder estimates for solutions to the degenerate boundary-value venttsel' problem for parabolic and elliptic equations of nondivergence type",
abstract = "The authors continue to study the Venttsel' problem, i.e., the boundary-value problem for a parabolic or elliptic equation with the boundary condition in the form of a parabolic or elliptic equation with respect to tangent variables. A priori estimates for the H{\"o}lder norms of solutions are established in the case of quasilinear equations of nondivergence form with a quasilinear degenerate boundary Venttsel' condition. Bibliography: 16 titles.",
author = "Apushkinskaya, {D. E.} and Nazarov, {A. I.}",
year = "1999",
month = jan,
day = "1",
doi = "10.1007/BF02365038",
language = "English",
volume = "97",
pages = "4177--4188",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Hölder estimates for solutions to the degenerate boundary-value venttsel' problem for parabolic and elliptic equations of nondivergence type

AU - Apushkinskaya, D. E.

AU - Nazarov, A. I.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - The authors continue to study the Venttsel' problem, i.e., the boundary-value problem for a parabolic or elliptic equation with the boundary condition in the form of a parabolic or elliptic equation with respect to tangent variables. A priori estimates for the Hölder norms of solutions are established in the case of quasilinear equations of nondivergence form with a quasilinear degenerate boundary Venttsel' condition. Bibliography: 16 titles.

AB - The authors continue to study the Venttsel' problem, i.e., the boundary-value problem for a parabolic or elliptic equation with the boundary condition in the form of a parabolic or elliptic equation with respect to tangent variables. A priori estimates for the Hölder norms of solutions are established in the case of quasilinear equations of nondivergence form with a quasilinear degenerate boundary Venttsel' condition. Bibliography: 16 titles.

UR - http://www.scopus.com/inward/record.url?scp=0039438707&partnerID=8YFLogxK

U2 - 10.1007/BF02365038

DO - 10.1007/BF02365038

M3 - Article

AN - SCOPUS:0039438707

VL - 97

SP - 4177

EP - 4188

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 45874483