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Venttsel Boundary Value Problems with Discontinuous Data
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2021-01-12 , DOI: 10.1137/19m1286839
Darya E. Apushkinskaya , Alexander I. Nazarov , Dian K. Palagachev , Lubomira G. Softova

SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 221-252, January 2021.
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.


中文翻译:

具有不连续数据的Venttsel边值问题

SIAM数学分析杂志,第53卷,第1期,第221-252页,2021年1月。
我们研究线性和准线性Venttsel边值问题,这些问题涉及具有不连续系数的椭圆算子。根据获得的先验估计,证明了Sobolev空间中的最大规则性和强可解性。
更新日期:2021-01-13
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