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Linear two-phase Venttsel problems |
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| Authors: | Darya E Apushkinskaya Aleksandr I Nazarov |
| Institution: | (1) Research Institute of Mathematics and Mechanics, St. Petersburg State University, Bibliotechnaya pl., 2 Stary Peterhof, 198904 St. Petersburg, Russia;(2) Department of Mathematics and Mechanics, St. Petersburg State University, Bibliotechnaya pl., 2 Stary Peterhof, 198904 St. Petersburg, Russia |
| Abstract: | A priori estimates are established for the two-phase boundary value problems with Venttsel interface conditions for linear nondivergent parabolic and elliptic equations. By these estimates, the existence and uniqueness theorems in Sobolev and Hölder spaces are proved. |
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