Convolutions with probability densities and applications to PDEs

Autor: Sorin G. Gal
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2017, Iss 216,, Pp 1-9 (2017)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals