S.
Thangavelu
321-332
Probabilistic representations of solutions to the heat equation
articles
research_article
en
2003-08-01
In this paper we provide a new (probabilistic) proof of a classical result in partial differential equations, viz. if ϕ is a tempered distribution, then the solution of the heat equation for the Laplacian, with initial condition ϕ, is given by the convolution of ϕ with the heat kernel (Gaussian density). Our results also extend the probabilistic representation of solutions of the heat equation to initial conditions that are arbitrary tempered distributions.
http://link.springer.com/10.1007/BF02829609
https://scigraph.springernature.com/explorer/license/
2003-08
2019-04-10T14:54
true
Rajeev
B.
10.1007/bf02829609
doi
2251-7456
2008-1359
Proceedings - Mathematical Sciences
1a884bca670190d3cb5e839efe6843e99ce70a597669aa44b48f2308e913496d
readcube_id
Indian Statistical Institute, R.V. College Post, 560 059, Bangalore, India
Indian Statistical Institute
Pure Mathematics
113
dimensions_id
pub.1005568891
3
Mathematical Sciences
Springer Nature - SN SciGraph project