Weak pseudoconcavity and the maximum modulus principle

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Weak Discrete Maximum Principle and Stability

Let ÍÍ be a polygonal domain in the plane and Sy(£l) denote the finite element space of continuous piecewise polynomials of degree < r — 1 (r > 2) defined on a quasi-uniform triangulation of ii (with triangles roughly of size h). It is shown that if un e Sy(Sl) is a "discrete harmonic function" then an a priori estimate (a weak maximum principle) of the form ""ftHi^n) < CII"/illL„.(3iï) holds. ...

متن کامل

A Sneaky Proof of the Maximum Modulus Principle

A proof for the maximum modulus principle (in the unit disc) is presented. This proof is unusual in that it is based on linear algebra. The goal of this note is to provide a neat proof of the following version of the maximum modulus principle. Theorem 1 Let f be a function analytic in a neighborhood of the closed unit disc D = {z ∈ C : |z| ≤ 1}. Then max z∈D |f(z)| = max z∈∂D |f(z)|. (Here and ...

متن کامل

Stochastic Incompleteness for Graphs and Weak Omori-yau Maximum Principle

We prove an analogue of the weak Omori-Yau maximum principle and Khas’minskii’s criterion for graphs in the general setting of Keller and Lenz. Our approach naturally gives the stability of stochastic incompleteness under certain surgeries of graphs. It allows to develop a unified approach to all known criteria of stochastic completeness/incompleteness, as well as to obtain new criteria.

متن کامل

The 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 کامل

On the Maximum Modulus of Polynomials. Ii

Let f(z) := ∑n ν=0 aνz ν be a polynomial of degree n having no zeros in the open unit disc, and suppose that max|z|=1 |f(z)| = 1. How small can max|z|=ρ |f(z)| be for any ρ ∈ [0 , 1)? This problem was considered and solved by Rivlin [4]. There are reasons to consider the same problem under the additional assumption that f ′(0) = 0. This was initiated by Govil [2] and followed up by the present ...

متن کامل

ذخیره 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: Annali di Matematica Pura ed Applicata

سال: 2003

ISSN: 0373-3114,1618-1891

DOI: 10.1007/s10231-002-0059-8