Operator-Norm Convergence Estimates for Elliptic Homogenization Problems on Periodic Singular Structures
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3887-9
Abstract: For an arbitrary periodic Borel measure μ we prove order O(ε) operator-norm resolvent estimates for the solutions to scalar elliptic problems in L2(ℝd, dμε) with ε-periodic coefficients, ε > 0. Here, με is the measure… read more here.
Keywords: estimates elliptic; norm convergence; convergence estimates; measure ... See more keywords
Optimal kernel estimates for elliptic operators with second order discontinuous coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123763
Abstract: Abstract We consider the family of second order elliptic operators L = Δ + ( a − 1 ) ∑ i , j = 1 N x i x j | x | 2 D… read more here.
Keywords: estimates elliptic; kernel estimates; second order; optimal kernel ... See more keywords