The Fundamental Solution for the Heat Equation on the half-line with Drift and Dirichlet Boundary Condition

2020/10/01 by Tertuliano Franco, Patrícia Gonçalves, Franco, Tertuliano +5
Mathematics · #35C15 #FOS: Mathematics #Numerical methods in inverse problems #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2010.00690

openalex publication_date 2020/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By a probabilistic method we provide an explicit fundamental solution of the Cauchy problem associated to the heat equation on the half-line with constant drift and Dirichlet boundary condition at zero.

Citations

• Classical Electrodynamics

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