17367

Автор(ов):

1

Параметры публикации

Тип публикации:

Статья в журнале/сборнике

Название:

Hardy Inequality and Heat Semigroup Estimates for Riemannian Manifolds with Singular Data

0360-5302

Наименование источника:

• Communications in Partial Differential Equations

vol. 37, № 5

• New York

Издательство:

• Marcel Dekker Inc.

2012

Страницы:

885-900
Аннотация
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on ∂D, and non-negative initial condition. We show that these upper bounds are close to being sharp if (i) the Dirichlet-Laplace-Beltrami operator acting in L 2(D) satisfies a strong Hardy inequality with weight δ2, (ii) the initial temperature distribution, and the specific heat of D are given by δ−α and δ−β respectively, where δ is the distance to ∂D, and 1 < α

Библиографическая ссылка:

Григорьян А.А. Hardy Inequality and Heat Semigroup Estimates for Riemannian Manifolds with Singular Data // Communications in Partial Differential Equations. 2012. vol. 37, № 5. С. 885-900.