|
|
|
|
| LEADER |
01314nam a2200181Ia 4500 |
| 001 |
10.1090-proc-15923 |
| 008 |
220706s2022 CNT 000 0 und d |
| 020 |
|
|
|a 00029939 (ISSN)
|
| 245 |
1 |
0 |
|a A CHANGE OF VARIABLE FOR DAHLBERG-KENIG-PIPHER OPERATORS
|
| 260 |
|
0 |
|b American Mathematical Society
|c 2022
|
| 856 |
|
|
|z View Fulltext in Publisher
|u https://doi.org/10.1090/proc/15923
|
| 520 |
3 |
|
|a In the present article, we give a method to deal with DahlbergKenig-Pipher (DPK) operators in boundary value problems on the upper half plane. We give a nice subclass of the weak DKP operators that generates the full class of weak DKP operators under the action of bi-Lipschitz changes of variable on Rn+ that fix the boundary Rn-1. Therefore, if one wants to prove a property on DKP operators which is stable by bi-Lipschitz transformations, one can directly assume that the operator belongs to the subclass. Our method gives an alternative proof to some past results and self-improves others beyond the existing literature. © 2022 American Mathematical Society.
|
| 650 |
0 |
4 |
|a Boundary value problems
|
| 650 |
0 |
4 |
|a Carleson perturbations
|
| 650 |
0 |
4 |
|a Dahlberg-Kenig-Pipher operators
|
| 650 |
0 |
4 |
|a elliptic operators with rough coefficients
|
| 700 |
1 |
|
|a Feneuil, J.
|e author
|
| 773 |
|
|
|t Proceedings of the American Mathematical Society
|
