Displaying similar documents to “A radial derivative with boundary values of the spherical Poisson integral.”

Fundamental solutions for Dirac-type operators

Swanhild Bernstein (1996)

Banach Center Publications

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We consider the Dirac-type operators D + a, a is a paravector in the Clifford algebra. For this operator we state a Cauchy-Green formula in the spaces C 1 ( G ) and W p 1 ( G ) . Further, we consider the Cauchy problem for this operator.

Carleman estimates for a subelliptic operator and unique continuation

Nicola Garofalo, Zhongwei Shen (1994)

Annales de l'institut Fourier

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We establish a Carleman type inequality for the subelliptic operator ℒ = Δ z + | x | 2 ∂ t 2 in ℝ n + 1 , n ≥ 2 , where z ∈ ℝ n , t ∈ ℝ . As a consequence, we show that - ℒ + V has the strong unique continuation property at points of the degeneracy manifold { ( 0 , t ) ∈ ℝ n + 1 | t ∈ ℝ } if the potential V is locally in certain L p spaces.

Several Higher Differentiation Formulas of Special Functions

Junjie Zhao, Xiquan Liang, Li Yan (2008)

Formalized Mathematics

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In this paper, we proved some basic properties of higher differentiation, and higher differentiation formulas of special functions [4].MML identifier: HFDIFF 1, version: 7.8.10 4.100.1011