On uniqueness of hyperfunction solutions of holonomic systems
نویسندگان
چکیده
منابع مشابه
On the dimension formula for the hyperfunction solutions of some holonomic D-modules
In this short note we improve a recent dimension formula of Takeuchi for the dimension of the hyperfunction solutions of some holonomic Dmodules. Besides the constructibility result and the local index formula of Kashiwara for the holomorphic solution complex, we only use a vanishing theorem of Lebeau together with a simple calculation in terms of constructible functions. 2000 Mathematics Subje...
متن کاملPolynomial and Rational Solutions of Holonomic Systems
Polynomial and rational solutions for linear ordinary differential equations can be obtained by algorithmic methods. For instance, the maple package DEtools provides efficient functions polysols and ratsols to find polynomial and rational solutions for a given linear ordinary differential equation with rational function coefficients. A natural analogue of the notion of linear ordinary different...
متن کاملeffect of oral presentation on development of l2 learners grammar
this experimental study has been conducted to test the effect of oral presentation on the development of l2 learners grammar. but this oral presentation is not merely a deductive instruction of grammatical points, in this presentation two hypotheses of krashen (input and low filter hypotheses), stevicks viewpoints on grammar explanation and correction and widdowsons opinion on limited use of l1...
15 صفحه اولUniqueness of Solutions for Zakharov Systems
We prove that the weak solution of the Cauchy problem for the KleinGordon-Zakharov system and for the Zakharov system is unique in the energy space for the former system, and in H×L for the latter system, in dimensions three or lower. These are the largest Sobolev spaces (in three dimensional case) where the local wellposedness has been proven so far. Our proof uses an infinite iteration, where...
متن کاملAn Algorithm of Constructing Cohomological Series Solutions of Holonomic Systems
Let D be the sheaf of analytic differential operators of n variables x1, . . . , xn. We consider a left ideal I of D generated by {l1, . . . , lm} which are in the Weyl algebra D = C〈x1, . . . , xn, ∂1, . . . , ∂n〉. If no confusion arises, we also denote by I the left ideal D ·{l1, . . . , ln} in D. Assume that D/I is holonomic. It was proved by M.Kashiwara that the germs of the k-th extension ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 1988
ISSN: 0004-2080
DOI: 10.1007/bf02386125