Variants on Alexandrov reflection principle and other applications of maximum principle
نویسندگان
چکیده
منابع مشابه
Maximum Principle for Spdes and Its Applications
The maximum principle for SPDEs is established in multidimensional C domains. An application is given to proving the Hölder continuity up to the boundary of solutions of one-dimensional SPDEs. The maximum principle is one of the most powerful tools in the theory of second-order elliptic and parabolic partial differential equations. However, until now it did not play any significant role in the ...
متن کاملOn the Weak Reflection Principle
The Weak Reflection Principle for ω2, or WRP(ω2), is the statement that every stationary subset of Pω1 (ω2) reflects to an uncountable ordinal in ω2. The Reflection Principle for ω2, or RP(ω2), is the statement that every stationary subset of Pω1 (ω2) reflects to an ordinal in ω2 with cofinality ω1. Let κ be a κ+-supercompact cardinal and assume 2κ = κ+. Then there exists a forcing poset P whic...
متن کاملOn the Reflection Principle In
We propose a reflection principle for holomorphic objects in Cn . Our construction generalizes the classical principle of H.Lewy, S.Pinchuk and S.Webster. Key-words: reflection principle, generic manifold, maximum modulus set, holomorphic extension. A.M.S. Classification: 32D15, 32D99, 32F25, 32H99.
متن کاملUnimodality and the Reflection Principle
We show how lattice paths and the reflection principle can be used to give easy proofs of unimodality results. In particular, we give a “one-line” combinatorial proof of the unimodality of the binomial coefficients. Other examples include products of binomial coefficients, polynomials related to the Legendre polynomials, and a result connected to a conjecture of Simion.
متن کاملThe Pontryagin Maximum Principle
Theorem (PontryaginMaximum Principle). Suppose a final time T and controlstate pair (û, x̂) on [τ, T ] give the minimum in the problem above; assume that û is piecewise continuous. Then there exist a vector of Lagrange multipliers (λ0, λ) ∈ R × R with λ0 ≥ 0 and a piecewise smooth function p: [τ, T ] → R n such that the function ĥ(t) def =H(t, x̂(t), p(t), û(t)) is piecewise smooth, and one has ̇̂ ...
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: Séminaire de théorie spectrale et géométrie
سال: 2001
ISSN: 2118-9242
DOI: 10.5802/tsg.321