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Estimates for the gradient of solutions to stationary degenerate Venttsel' problems. / Apushkinskaya, D. E.; Nazarov, A. I.

In: Journal of Mathematical Sciences , Vol. 98, No. 6, 01.01.2000, p. 654-673.

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

Harvard

Apushkinskaya, DE & Nazarov, AI 2000, 'Estimates for the gradient of solutions to stationary degenerate Venttsel' problems', Journal of Mathematical Sciences , vol. 98, no. 6, pp. 654-673. https://doi.org/10.1007/BF02355382

APA

Apushkinskaya, D. E., & Nazarov, A. I. (2000). Estimates for the gradient of solutions to stationary degenerate Venttsel' problems. Journal of Mathematical Sciences , 98(6), 654-673. https://doi.org/10.1007/BF02355382

Vancouver

Apushkinskaya DE, Nazarov AI. Estimates for the gradient of solutions to stationary degenerate Venttsel' problems. Journal of Mathematical Sciences . 2000 Jan 1;98(6):654-673. https://doi.org/10.1007/BF02355382

Author

Apushkinskaya, D. E. ; Nazarov, A. I. / Estimates for the gradient of solutions to stationary degenerate Venttsel' problems. In: Journal of Mathematical Sciences . 2000 ; Vol. 98, No. 6. pp. 654-673.

BibTeX

@article{13906605832241a2881a7cc5b2fb5734,
title = "Estimates for the gradient of solutions to stationary degenerate Venttsel' problems",
abstract = "The stationary Venttsel' problem for a uniformly elliptic operator is studied. Elliptic terms of the boundary operator can degenerate, whereas the first-order terms form a nondegenerate nontangent operator. The maximum and the H{\"o}lder norm for the tangent gradient of a solution to the problem are estimated. An estimate for the Holder norm of the full gradient is also derived.",
author = "Apushkinskaya, {D. E.} and Nazarov, {A. I.}",
year = "2000",
month = jan,
day = "1",
doi = "10.1007/BF02355382",
language = "English",
volume = "98",
pages = "654--673",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Estimates for the gradient of solutions to stationary degenerate Venttsel' problems

AU - Apushkinskaya, D. E.

AU - Nazarov, A. I.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - The stationary Venttsel' problem for a uniformly elliptic operator is studied. Elliptic terms of the boundary operator can degenerate, whereas the first-order terms form a nondegenerate nontangent operator. The maximum and the Hölder norm for the tangent gradient of a solution to the problem are estimated. An estimate for the Holder norm of the full gradient is also derived.

AB - The stationary Venttsel' problem for a uniformly elliptic operator is studied. Elliptic terms of the boundary operator can degenerate, whereas the first-order terms form a nondegenerate nontangent operator. The maximum and the Hölder norm for the tangent gradient of a solution to the problem are estimated. An estimate for the Holder norm of the full gradient is also derived.

UR - http://www.scopus.com/inward/record.url?scp=52849111906&partnerID=8YFLogxK

U2 - 10.1007/BF02355382

DO - 10.1007/BF02355382

M3 - Article

AN - SCOPUS:52849111906

VL - 98

SP - 654

EP - 673

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 45873959