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
On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics
Marvin Zeman (1980)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A Bochner-Martinelli formula for vector fields which satisfy the generalized Cauchy-Riemann equations
R. G. M. Brummelhuis (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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“Farfield” behavior of solutions to partial differential equations : asymptotic expansions and maximal rates of decay along a ray
Orazio Arena, Walter Littman (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The analytic Cauchy problem for the iterated wave equation
Miles, E.P. jr. (1959)
Portugaliae mathematica
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Singular integrals and rectifiability.
Pertti Mattila (2002)
Publicacions Matemàtiques
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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.
Hany M. Farag (1999)
Publicacions Matemàtiques
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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...