H∞-Calculus for Second Order Elliptic Operators in Divergence Form

1995 ◽  
pp. 185-189
Author(s):  
Matthias Hieber
Keyword(s):  
Divergence Form ◽  
Elliptic Operators ◽  
Second Order ◽  
Second Order Elliptic Operators

scholarly journals Commutators of Square Functions Related to Fractional Differentiation for Second-Order Elliptic Operators

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Xiongtao Wu ◽  
Wenyu Tao ◽  
Yanping Chen ◽  
Kai Zhu
Keyword(s):  
Elliptic Operator ◽  
Divergence Form ◽  
Elliptic Operators ◽  
Second Order ◽  
Square Function ◽  
Fractional Differentiation ◽  
Square Functions ◽  
Second Order Elliptic Operators ◽  
Complex Coefficients

Let L=-div(A∇) be a second-order divergence form elliptic operator, where A is an accretive n×n matrix with bounded measurable complex coefficients in Rn. In this paper, we mainly establish the Lp boundedness for the commutators generated by b∈Iα(BMO) and the square function related to fractional differentiation for second-order elliptic operators.

Some results on second-order elliptic operators with polynomially growing coefficients in L-spaces

2021 ◽  
pp. 125209
Author(s):  
Sallah Eddine Boutiah ◽  
Loredana Caso ◽  
Federica Gregorio ◽  
Cristian Tacelli
Keyword(s):  
Elliptic Operators ◽  
Second Order ◽  
Second Order Elliptic Operators

scholarly journals The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients

2014 ◽  
Vol 361 (3-4) ◽  
pp. 863-907 ◽  
Author(s):  
Steve Hofmann ◽  
Carlos Kenig ◽  
Svitlana Mayboroda ◽  
Jill Pipher
Keyword(s):  
Elliptic Operators ◽  
Second Order ◽  
Regularity Problem ◽  
Measurable Coefficients ◽  
Second Order Elliptic Operators ◽  
Complex Valued
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