Doubling Properties of Caloric Functions
نویسنده
چکیده
We obtain quantitative estimates of unique continuation for solutions to parabolic equations: doubling properties and two-sphere one-cylinder inequalities.
منابع مشابه
Doubling Properties for Second Order Parabolic Equations in Memory of Eugene Fabes
We prove the doubling property of L-caloric measure corresponding to the second order parabolic equation in the whole space and in Lipschitz domains. For parabolic equations in the divergence form, a weaker form of the doubling property follows easily from a recent result, the backward Harnack inequality, and known estimates of the Green's function. Our method works for both the divergence and ...
متن کاملDoubling properties for second order parabolic equations
We prove the doubling property of L-caloric measure corresponding to the second order parabolic equation in the whole space and in Lipschitz domains. For parabolic equations in the divergence form, a weaker form of the doubling property follows easily from a recent result, the backward Harnack inequality, and known estimates of Green’s function. Our method works for both the divergence and nond...
متن کاملGrowth Theorems and Harnack Inequality for Second Order Parabolic Equations
A general approach to both divergence (D) and non-divergence (ND) second order parabolic equations is presented, which is based on three growth theorem. These growth theorems look identical in both cases (D) and (ND). They allow to prove the Harnack inequality and other related facts by general arguments, which do not depend on the structure (divergence or nondivergence) of equations. In turn, ...
متن کاملCalories and gastric emptying: a regulatory capacity with implications for feeding.
Gastric emptying in four unanesthetized male Macaca mulatta was studied with the serial test meal method of Hunt and Spurrell. Liquid meals were infused into the stomach through a chronic indwelling Silastic cannula. Saline meals empty rapidly and exponentially. Doubling the volume of saline from 150 to 300 ml increased the emptying rate so that the half-life remained unchanged (15 min). The 15...
متن کاملReal Analysis Related to the Monge-ampère Equation
In this paper we consider a family of convex sets in Rn, F = {S(x, t)}, x ∈ Rn, t > 0, satisfying certain axioms of affine invariance, and a Borel measure μ satisfying a doubling condition with respect to the family F . The axioms are modelled on the properties of the solutions of the real Monge-Ampère equation. The purpose of the paper is to show a variant of the Calderón-Zygmund decomposition...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008