Distribution flows associated with positivity preserving coercive forms
نویسندگان
چکیده
منابع مشابه
On the local property for positivity preserving coercive forms
We show that, under mild conditions, two well-known definitions for the local property of a Dirichlet form are equivalent. We also show that forms that come from differential operators are local. 1991 AMS Subject Classification: 31C25 The purpose of this paper is to clarify the relationship between two different notions of locality that have appeared in the literature of Dirichlet forms. The fi...
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If (un)n∈IN is a sequence in L2(E; m) converging m-almost everywhere to u, then Fatou’s lemma says that (u, u)L2 ≤ lim infn(un, un)L2 , where we set (u, u)L2 = ∞ if u 6∈ L2(E; m). The corresponding result, where a Dirichlet form replaces the inner product, was used by Silverstein [5; Lemma 1.7] and by Fukushima, Oshima, and Takeda [2; Theorem 1.5.2] to define extended Dirichlet space and study ...
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متن کاملan efficient nonstandard numerical method with positivity preserving property
classical explicit finite difference schemes are unsuitable for the solution of the famous black-scholes partial differential equation, since they impose severe restrictions on the time step. furthermore, they may produce spurious oscillations in the solution. we propose a new scheme that is free of spurious oscillations and guarantees the positivity of the solution for arbitrary stepsizes. the...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2019
ISSN: 0091-1798
DOI: 10.1214/18-aop1327