Uniqueness of the null solution to a nonlinear partial differential equation satisfied by the explosion probability of a branching diffusion
2016 ◽
Vol 53
(3)
◽
pp. 938-945
◽
Keyword(s):
AbstractThe explosion probability before time t of a branching diffusion satisfies a nonlinear parabolic partial differential equation. This equation, along with the natural boundary and initial conditions, has only the trivial solution, i.e. explosion in finite time does not occur, provided the creation rate does not grow faster than the square power at ∞.
1974 ◽
Vol 80
(1)
◽
pp. 49-53
◽
1984 ◽
Vol 20
(9)
◽
pp. 773-779
2017 ◽
Vol 175
(3)
◽
pp. 652-682
1974 ◽
Vol 42
(1)
◽
pp. 143-143
◽
2010 ◽
Vol 12
(2)
◽
pp. 125-131