Complex powers of a nonelliptic differential operator in \(L_p\)-spaces

DOI10.1134/S0012266113100091zbMath1295.35179OpenAlexW2010896683MaRDI QIDQ2251770

D. N. Karasev, V. A. Nogin

Publication date: 15 July 2014

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113100091

zbMATH Keywords

approximative inverse operatorspartial acoustic potentials

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) General theory of partial differential operators (47F05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Complex powers of the telegraph operator and close operators in \(L_p\) spaces
• \(L_p\)-\(L_q\) estimates for the Bochner-Riesz operator of complex order
• On the boundedness of some potential‐type operators with oscillating kernels
• Integral transforms related to complex powers of the generalized Schrödinger operator
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