We study linear and quasilinear Venttsel boundary value problems involving elliptic operators with discontinuous coefficients. On the base of the a priori estimates obtained, maximal regularity and strong solvability in Sobolev spaces are proved.
Venttsel boundary value problems with discontinuous data / Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G.. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 1095-7154. - STAMPA. - 53:1(2021), pp. 221-252. [10.1137/19M1286839]
Venttsel boundary value problems with discontinuous data
Dian K. Palagachev
;
2021-01-01
Abstract
We study linear and quasilinear Venttsel boundary value problems involving elliptic operators with discontinuous coefficients. On the base of the a priori estimates obtained, maximal regularity and strong solvability in Sobolev spaces are proved.File in questo prodotto:
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