Venttsel boundary value problems with discontinuous data

We study linear and quasilinear Venttsel boundary value problems involving elliptic operators with discontinuous coefficients. On the basis of the a priori estimates obtained, maximal regularity and strong solvability in Sobolev spaces are proved. © 2021 Society for Industrial and Applied Mathematics.

Authors
Apushkinskaya D.E. 1, 2 , Nazarov A.I.3 , Palagachev D.K.4 , Softova L.G.5
Journal
SIAM Journal on Mathematical Analysis
Number of issue
1
Language
English
Pages
221-252
Status
Published
Link
External link
DOI
10.1137/19M1286839
Volume
53
Year
2021
Organizations
  • 1 Saarland University, Saarbrücken, Germany
  • 2 Peoples' Friendship University of Russia (RUDN University), Moscow and Chebyshev Laboratory, St. Petersburg State Univeristy, St. Petersburg, Russian Federation
  • 3 St. Petersburg, Department of Steklov Institute, St. Petersburg State University, St. Petersburg, Russian Federation
  • 4 Department of Mechanics, Mathematics and Management, Polytechnic University of Bari, Bari, 70125, Italy
  • 5 Department of Mathematics, University of Salerno, Fisciano (SA), 84084, Italy
Keywords
A priori estimates; Maximal regularity; Quasilinear; Second-order elliptic equations; Strong solvability; Venttsel problem; VMO
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/71892/
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