Transition operators of diffusions reduce zero-crossing
نویسندگان
چکیده
منابع مشابه
Transition Operators of Diffusions Reduce Zero–crossing
If u(t, x) is a solution of a one–dimensional, parabolic, second– order, linear partial differential equation (PDE), then it is known that, under suitable conditions, the number of zero–crossings of the function u(t, ·) decreases (that is, does not increase) as time t increases. Such theorems have applications to the study of blow–up of solutions of semilinear PDE, time dependent Sturm Liouvill...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1999
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-99-02341-7