Inversion of parabolic potentials with \(L_ p\)-densities

DOI10.1007/BF01157030zbMath0629.35004MaRDI QIDQ1093802

V. A. Nogin, Boris Rubin

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier transforminverse operatorsexplicit formulaeparabolic potentialsparabolic hypersingular integralspositive powers of the differential operators

Mathematics Subject Classification ID

Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (5)

Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball ⋮ Hypersingular Integrals of Marchaud Type and the Inversion Problem for Potentials ⋮ A generalization of parabolic Riesz and parabolic Bessel potentials ⋮ A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials ⋮ The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup

Cites Work

• Lebesgue spaces of parabolic potentials
• Hypersingular Integrals and Parabolic Potentials
• A Characterization of Parabolic Function Spaces
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