Integral Equation Formulation of the Biharmonic Dirichlet Problem
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DOI: 10.1007/s10915-017-0559-8
Abstract: We present a novel integral representation for the biharmonic Dirichlet problem. To obtain the representation, the Dirichlet problem is first converted into a related Stokes problem for which the Sherman–Lauricella integral representation can be used.… read more here.
Keywords: dirichlet problem; problem; integral representation; biharmonic dirichlet ... See more keywords
Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
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DOI: 10.1016/j.jmaa.2019.123629
Abstract: Abstract We present a constructive technique to represent classes of bilinear operators that allow a factorization through a bilinear product, providing a general version of the well-known characterization of integral bilinear forms as elements of… read more here.
Keywords: integral representation; bilinear maps; representation product; product ... See more keywords
An integral representation for the product of parabolic cylinder functions
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DOI: 10.1080/10652469.2016.1247837
Abstract: ABSTRACT This paper uses the convolution theorem of the Laplace transform to derive an inverse Laplace transform for the product of two parabolic cylinder functions in which the orders as well as the arguments differ.… read more here.
Keywords: cylinder functions; product; parabolic cylinder; integral representation ... See more keywords