| Autor: |
Mitrea, D., Mitrea, I., Mitrea, M. |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Sciences; Dec2022, Vol. 268 Issue 4, p458-472, 15p |
| Abstrakt: |
The standard manner in which interior elliptic estimates are formulated involves solid integrals over Euclidean balls. In this paper, by relying on integral representation formulas of layer potential type (themselves consequences of the divergence theorem for singular vector fields), we refine the aforementioned estimates by now allowing the solid integrals to be taken only over arbitrarily thin annuli. Our thus refined interior estimates are valid for injectively elliptic homogeneous systems (not necessarily square) of arbitrary order, with constant complex coefficients. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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