The Cauchy problem for the damped wave equation with polyharmonic initial conditions
Miles, E.P. jr., Williams, Ernest (1958)
Portugaliae mathematica
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Displaying similar documents to “A Cauchy problem for a semi-axially symmetric wave equation”
The Cauchy problem for the damped wave equation with polyharmonic initial conditions
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Singular integrals and rectifiability.
Pertti Mattila (2002)
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We shall discuss singular integrals on lower dimensional subsets of Rn. A survey of this topic was given in [M4]. The first part of this paper gives a quick review of some results discussed in [M4] and a survey of some newer results and open problems. In the second part we prove some results on the Riesz kernels in Rn. As far as I know, they have not been explicitly stated and proved, but they are very closely related to some earlier results and...
The Riesz kernels do not give rise to higher dimensional analogues of the Menger-Melnikov curvature.
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Ever since the discovery of the connection between the Menger-Melnikov curvature and the Cauchy kernel in the L norm, and its impressive utility in the analytic capacity problem, higher dimensional analogues have been coveted. The lesson from 1-sets was that any such (nontrivial, nonnegative) expression, using the Riesz kernels for m-sets in R, even in any L norm (k ∈ N), would probably carry nontrivial information on whether the boundedness of these kernels in the appropriate norm implies...