Convolutions with probability densities and applications to PDEs

Date

2017-09-13

Authors

Gal, Sorin

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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. <i>Electronic Journal of Differential Equations, 2017</i>(216), pp. 1-9.

Rights

Attribution 4.0 International

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