Convolutions with probability densities and applications to PDEs
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Date
2017-09-13
Authors
Gal, Sorin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we introduce several new convolution operators, generated by some known probability densities. By using the inverse Fourier transform and taking inverse steps (in the analogues of the classical procedures used for example in the heat or Laplace equations), we deduce the initial and final value problems satisfied by the new convolution integrals.
Description
Keywords
Probability density, Convolution integral, Fourier transform, Initial value problem, Final value problem
Citation
Gal, S. G. (2017). Convolutions with probability densities and applications to PDEs. Electronic Journal of Differential Equations, 2017(216), pp. 1-9.
Rights
Attribution 4.0 International