|
|||||
|
|
A survey of results on nonlinear Venttsel problems |
|
| Authors: | D. E. Apushkinskaya A. I. Nazarov |
| Affiliation: | (1) St. Petersburg State University of Architecture and Civil Engineering, 2-ya Krasnoarmeyskaya ul. 4, St. Petersburg, 198005, Russia;(2) St. Petersburg State University, Bibliotechnaya pl. 2, Stary Peterhof, St. Petersburg, 198904, Russia |
| 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. |
| Keywords: | Venttsel boundary conditions elliptic equations parabolic equations a priori estimates existence theorems boundary value problems |
| 本文献已被 SpringerLink 等数据库收录！ | |