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Small Diffusion and Fast Dying Out Asymptotics for Superprocesses as Non-Hamiltonian Quasiclassics for Evolution Equations

   
@article{EJP94,
	author = {Vassili Kolokoltsov},
	title = {Small Diffusion and Fast Dying Out Asymptotics for Superprocesses as Non-Hamiltonian Quasiclassics for Evolution Equations},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {6},
	year = {2001},
	keywords = {Dawson-Watanabe superprocess, reaction diffusion  equation, logarithmic limit, small diffusion asymptotics, curvilinear   Ornstein-Uhlenbeck process.},
	abstract = {The small diffusion and fast dying out asymptotics is   calculated for nonlinear equations of a class of superprocesses on  manifolds, and the corresponding logarithmic limit of the solution is  shown to be given by a solution of a certain problem of calculus of   variations with a non-additive (and non-integral) functional.},
	pages = {no. 21, 1-16},
	issn = {1083-6489},
	doi = {10.1214/EJP.v6-94},    
        url = {http://ejp.ejpecp.org/article/view/94}}