Bessel Integrals and Fundamental Solutions for a Generalized Tricomi Operator

2001/01/08 by J. Barros-Neto, Barros-Neto, J., Fernando Cardoso +2 · 1 citation
Mathematics · #35M10 (primary) 46F10 #42B10 (secondary) #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical functions and polynomials #Spectral Theory in Mathematical Physics #math.AP #math.CA #msc:35M10 #msc:42B10 #msc:46F10

paper · pdf · doi:10.48550/arxiv.math/0101065

arxiv created 2001/01/08 · openalex publication_date 2001/01/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Partial Fourier transforms are used to find explicit formulas for two remarkable fundamental solutions for a generalized Tricomi operator. These fundamental solutions reflect clearly the mixed type of the operator. In order to prove these results, we establish explicit formulas for Fourier transforms of some type of Bessel functions.

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• A note on Tricomi-type partial differential equations with white noise initial condition

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