English

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

Probability 2020-10-06 v2

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.

Keywords

Cite

@article{arxiv.2010.00690,
  title  = {The Fundamental Solution for the Heat Equation on the half-line with Drift and Dirichlet Boundary Condition},
  author = {Tertuliano Franco and Patrícia Gonçalves and Nicolas Perkowski and Marielle Simon},
  journal= {arXiv preprint arXiv:2010.00690},
  year   = {2020}
}

Comments

We have been warned by Hugo Panzo (Technion) that this result was already known