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Palabra: INTEGRO-DIFFERENTIAL OPERATORS (Palabras)

2 registros cumplieron la condición especificada en la base de información BIBCYT. ()

Registro 1 de 2, Base de información BIBCYT

Autor:	Barlow, Martin T. ; Bass, Richard F. ; Chen, Zhen-Qing ; Kassmann, Moritz
Título:	Non-local Dirichlet forms and symmetric jump processes.
Páginas/Colación:	pp. 1963-1999
Fecha:	April 2009

Transactions of the American Mathematical Society Vol. 361, no.4 April 2009

Información de existencia

Palabras Claves:

DIRICHLET FORMS,

HARMONIC,

HARNACK INEQUALITY,

INTEGRO-DIFFERENTIAL OPERATORS,

JUMP PROCESSES,

SYMMETRIC PROCESSES

Resumen
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We consider the non-local symmetric Dirichlet form $(\mathcal{E}, \mathcal{F})$ given by

$\displaystyle \mathcal{E} (f,f)=\int\limits_{\mathbb{R}^d} \int\limits_{\mathbb{R}^d} (f(y)-f(x))^2 J(x,y) \, dx\, dy$

with $\mathcal{F}$ the closure with respect to $\mathcal{E}_1$ of the set of functions on $\mathbb{R}^d$ with compact support, where $\mathcal{E}_1 (f, f):=\mathcal{E} (f, f)+\int_{\mathbb{R}^d} f(x)^2 dx$ , and where the jump kernel satisfies

$\displaystyle \kappa_1\vert y-x\vert^{-d-\alpha} \leq J(x,y) \leq \kappa_2\vert y-x\vert^{-d-\beta}$

for $0<\alpha< \beta <2, \, \vert x-y\vert<1$ . This assumption allows the corresponding jump process to have jump intensities whose sizes depend on the position of the process and the direction of the jump. We prove upper and lower estimates on the heat kernel. We construct a strong Markov process corresponding to $(\mathcal{E}, \mathcal{F})$ . We prove a parabolic Harnack inequality for non-negative functions that solve the heat equation with respect to $\mathcal{E}$ . Finally we construct an example where the corresponding harmonic functions need not be continuous.

Registro 2 de 2, Base de información BIBCYT

Autor:	Minh Chuong, Nguyen ; Quang Trung, Le
Título:	On a Non Classical Oblique Derivate Problem for a Parabolic Singular Integro-Differential Operators
Código:	IC/89/304
Editorial:	Trieste INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS , ITALIA
Fecha:	1989
Páginas/Colación:	10 p.
Tipo de impresión:	Impreso

Idioma:	Inglés

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Nota
RESUMEN

TABLA DE CONTENIDO

INTRODUCTION.
NOTATIONS AND DEFINITIONS.
PROBLEM.
ACKNOWLEGMENTS.
REFERENCES.

Descrip.
RESUMEN

RESUMEN

In this paper was studied an obliquee derivative problem for parabolic singular integrodifferential operators. In this problem the direction of the derivative may be tangent to the boundary of the domain. By the large parameter method were obtained theorems of existence and uniqueness of solutions of the problem.

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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