منابع مشابه
A proof of a Parabolic Maximum Principle
Define the following parabolic operator in divergence form Lu ≡ ∂u ∂t − ∂ ∂x j a ij (x, t) ∂u ∂x i for (x, t) ∈ Ω T = Ω × (0, T ], where Ω is a bounded simply connected subset of R m for m ≥ 2 and T > 0 is a fixed but arbitrary positive number. We also assume that the a ij are bounded and measurable in ¯ Ω T and satisfy the uniform parabolicity condition: 1/ν |z| 2 ≤ m i,j=1 a ij (x, t)z i z j ...
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Applying the Tubular Neighborhood Theorem, we give a short and new proof of the Pontryagin Maximum Principle on a smooth manifold. The idea is as follows. Given a control system on a manifold M , we embed it into an open subset of some Rn, and extend the control system to the open set. Then, we apply the Pontryagin Maximum Principle on Rn to the extended system and project the consequence to M ...
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15 صفحه اولA short proof of the maximum conjecture in CR dimension one
In this paper and by means of the extant results in the Tanaka theory, we present a very short proof in the specific case of CR dimension one for Beloshapka's maximum conjecture. Accordingly, we prove that each totally nondegenerate model of CR dimension one and length >= 3 has rigidity. As a result, we observe that the group of CR automorphisms associated with each of such models contains onl...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1991
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-53-2-147-152