ON POSITIVE SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL-EQUATIONS - A PROBABILISTIC APPROACH

標題:	ON POSITIVE SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL-EQUATIONS - A PROBABILISTIC APPROACH
作者:	SHEU, YC 交大名義發表應用數學系 National Chiao Tung University Department of Applied Mathematics
關鍵字:	BRANCHING PARTICLE SYSTEMS;MEASURE-VALUED PROCESSES;NONLINEAR ELLIPTIC EQUATION;RANGE;SUPERDIFFUSIONS
公開日期:	1-九月-1995
摘要:	By using connections between superdiffusions and partial differential equations (established recently by Dynkin, 1991), we study the structure of the set of all positive (bounded or unbounded) solutions for a class of nonlinear elliptic equations. We obtain a complete classification of all bounded solutions. Under more restrictive assumptions, we prove the uniqueness property of unbounded solutions, which was observed earlier by Cheng and Ni (1992).
URI:	http://hdl.handle.net/11536/1736
ISSN:	0304-4149
期刊:	STOCHASTIC PROCESSES AND THEIR APPLICATIONS
Volume:	59
Issue:	1
起始頁:	43
結束頁:	53
顯示於類別：	期刊論文

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