Square function estimates on layer potentials for higher-order elliptic equations

Barton A., Hofmann S., Mayboroda S.

MATHEMATISCHE NACHRICHTEN, cilt.290, sa.16, ss.2459-2511, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 290 Sayı: 16
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1002/mana.201600498
  • Dergi Adı: MATHEMATISCHE NACHRICHTEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2459-2511
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper we establish square-function estimates on the double and single layer potentials for divergence form elliptic operators, of arbitrary even order 2m, with variable t-independent coefficients in the upper half-space. This generalizes known results for variable-coefficient second-order operators, and also for constant-coefficient higher-order operators.