A survey of results on nonlinear Venttsel problems

Darya E. Apushkinskaya; Alexander I. Nazarov

Applications of Mathematics (2000)

  • Volume: 45, Issue: 1, page 69-80
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Apushkinskaya, Darya E., and Nazarov, Alexander I.. "A survey of results on nonlinear Venttsel problems." Applications of Mathematics 45.1 (2000): 69-80. <http://eudml.org/doc/33049>.

@article{Apushkinskaya2000,
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 Hölder spaces.},
author = {Apushkinskaya, Darya E., Nazarov, Alexander I.},
journal = {Applications of Mathematics},
keywords = {Venttsel boundary conditions; elliptic equations; parabolic equations; a priori estimates; existence theorems; boundary value problems; Venttsel boundary conditions; elliptic equations; parabolic equations; a priori estimates; existence theorems; boundary value problems},
language = {eng},
number = {1},
pages = {69-80},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A survey of results on nonlinear Venttsel problems},
url = {http://eudml.org/doc/33049},
volume = {45},
year = {2000},
}

TY - JOUR
AU - Apushkinskaya, Darya E.
AU - Nazarov, Alexander I.
TI - A survey of results on nonlinear Venttsel problems
JO - Applications of Mathematics
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 1
SP - 69
EP - 80
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.
LA - eng
KW - Venttsel boundary conditions; elliptic equations; parabolic equations; a priori estimates; existence theorems; boundary value problems; Venttsel boundary conditions; elliptic equations; parabolic equations; a priori estimates; existence theorems; boundary value problems
UR - http://eudml.org/doc/33049
ER -

References

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