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A survey of results on nonlinear Venttsel problems. / Apushkinskaya, D. E.; Nazarov, A. I.

In: Applications of Mathematics, Vol. 45, No. 1, 01.01.2000, p. 69-80.

Research output: Contribution to journal › Review article › peer-review

Harvard

Apushkinskaya, DE & Nazarov, AI 2000, 'A survey of results on nonlinear Venttsel problems', Applications of Mathematics, vol. 45, no. 1, pp. 69-80. https://doi.org/10.1023/A:1022288717033

APA

Apushkinskaya, D. E., & Nazarov, A. I. (2000). A survey of results on nonlinear Venttsel problems. Applications of Mathematics, 45(1), 69-80. https://doi.org/10.1023/A:1022288717033

Vancouver

Apushkinskaya DE, Nazarov AI. A survey of results on nonlinear Venttsel problems. Applications of Mathematics. 2000 Jan 1;45(1):69-80. https://doi.org/10.1023/A:1022288717033

Author

Apushkinskaya, D. E. ; Nazarov, A. I. / A survey of results on nonlinear Venttsel problems. In: Applications of Mathematics. 2000 ; Vol. 45, No. 1. pp. 69-80.

BibTeX

@article{1effae0a9443431ca75fe85929eaf07b,
title = "A survey of results on nonlinear Venttsel problems",
abstract = "We review the recent results for boundary value problems with boundary conditions given by second-order integral-differential operators. Particular attention has been paid to nonlinear problems (without integral terms in the boundary conditions) for elliptic and parabolic equations. For these problems we formulate some statements concerning a priori estimates and the existence theorems in Sobolev and H{\"o}lder spaces.",
keywords = "A priori estimates, Boundary value problems, Elliptic equations, Existence theorems, Parabolic equations, Venttsel boundary conditions",
author = "Apushkinskaya, {D. E.} and Nazarov, {A. I.}",
year = "2000",
month = jan,
day = "1",
doi = "10.1023/A:1022288717033",
language = "English",
volume = "45",
pages = "69--80",
journal = "Applications of Mathematics",
issn = "0862-7940",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - A survey of results on nonlinear Venttsel problems

AU - Apushkinskaya, D. E.

AU - Nazarov, A. I.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - We review the recent results for boundary value problems with boundary conditions given by second-order integral-differential operators. Particular attention has been paid to nonlinear problems (without integral terms in the boundary conditions) for elliptic and parabolic equations. For these problems we formulate some statements concerning a priori estimates and the existence theorems in Sobolev and Hölder spaces.

AB - We review the recent results for boundary value problems with boundary conditions given by second-order integral-differential operators. Particular attention has been paid to nonlinear problems (without integral terms in the boundary conditions) for elliptic and parabolic equations. For these problems we formulate some statements concerning a priori estimates and the existence theorems in Sobolev and Hölder spaces.

KW - A priori estimates

KW - Boundary value problems

KW - Elliptic equations

KW - Existence theorems

KW - Parabolic equations

KW - Venttsel boundary conditions

UR - http://www.scopus.com/inward/record.url?scp=0040016282&partnerID=8YFLogxK

U2 - 10.1023/A:1022288717033

DO - 10.1023/A:1022288717033

M3 - Review article

AN - SCOPUS:0040016282

VL - 45

SP - 69

EP - 80

JO - Applications of Mathematics

JF - Applications of Mathematics

SN - 0862-7940

IS - 1

ER -

ID: 45874394