Complex powers of some degenerate differential operators related to the Helmholtz operator

DOI10.1134/S0012266109030094zbMath1176.31014MaRDI QIDQ731651

D. V. Vozhzhov, V. A. Nogin

Publication date: 8 October 2009

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

zbMATH Keywords

Laplace operatorpotential type operator\(L_p\)-space

Mathematics Subject Classification ID

Other generalizations (nonlinear potential theory, etc.) (31C45)

Cites Work

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• Complex powers of second order non-homogeneous elliptic differential operators with degenerating symbols in the spaces \(L_p(\mathbb{R}^n)\)
• Complex powers of the telegraph operator and close operators in \(L_p\) spaces
• Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids
• Function spaces connected with klein-gordon integral transforms
• Inversion theorems for poterntial-type integral transforms in a and ons^n-1
• Method of approximating inverse operators and its applications to the inversion of potential-type integral transforms
• Integral transforms related to complex powers of the generalized Schrödinger operator

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