Continuity of the double layer potential of a second order elliptic differential operator in Schauder spaces on the boundary
| Autor: | de Cristoforis, Massimo Lanza |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove the validity of a regularizing property on the boundary of the double layer potential associated to the fundamental solution of a {\em nonhomogeneous} second order elliptic differential operator with constant coefficients in Schauder spaces of exponent greater or equal to two that sharpens classical results of N.M.~G\"{u}nter, S.~Mikhlin, V.D.~Kupradze, T.G.~Gegelia, M.O.~Basheleishvili and T.V.~Bur\-chuladze, U.~Heinemann and extends the work of A.~Kirsch who has considered the case of the Helmholtz operator. Comment: arXiv admin note: text overlap with arXiv:2103.06971 |
| Databáze: | arXiv |
| Externí odkaz: |
|