An initial-boundary value problem with a Venttsel' boundary condition for parabolic equations not in divergence form
D. E. Apushkinskaya, A. I. Nazarov

This publication is cited in the following articles:

1. N. S. Goncharov, G. A. Sviridyuk, “Analysis of the Wentzell stochastic system composed of the equations of unpressurised filtration in the hemisphere and at its boundary”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 17:1 (2024), 86–96    
2. D. E. Apushkinskaya, A. I. Nazarov, D. K. Palagachev, L. G. Softova, “The quasilinear parabolic Venttsel' problem with discontinuous leading coefficients”, Funct. Anal. Appl., 57:2 (2023), 158–163          
3. D. E. Apushkinskaya, A. I. Nazarov, D. K. Palagachev, L. G. Softova, “Nonstationary venttsel problem with $VMO_x$ leading coefficients”, Dokl. Math., 107:2 (2023), 97–100        
4. G. A. Sviridyuk, N. S. Goncharov, S. A. Zagrebina, “Zadachi Shouoltera-Sidorova i Koshi dlya lineinogo uravneniya Dzektsera s kraevymi usloviyami Venttselya i Robena v ogranichennoi oblasti”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 14:1 (2022), 50–63    
5. N. S. Goncharov, “Sobstvennye znacheniya i sobstvennye funktsii operatora Laplasa v kvadrate i v kruge s kraevym usloviem Venttselya”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 14:3 (2022), 17–22    
6. N. S. Goncharov, S. A. Zagrebina, G. A. Sviridyuk, “Non-uniqueness of solutions to boundary value problems with Wentzell condition”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 14:4 (2021), 102–105    
7. Apushkinskaya, DE, “Linear two-phase Venttsel problems”, Arkiv For Matematik, 39:2 (2001), 201