Sobolev–Morrey spaces related to an ultraparabolic equation

被引：2

作者：

Sergio Polidoro

Maria Alessandra Ragusa

机构：

[1] Dipartimento di Matematica,

[2] Università di Bologna,undefined

[3] Piazza di Porta S. Donato,undefined

[4] 5,undefined

[5] I-40127 Bologna,undefined

[6] Italy. e mail: polidoro@dm.unibo.it,undefined

[7] Dipartimento di Matematica,undefined

[8] Università di Catania,undefined

[9] Viale A. Doria,undefined

[10] 6,undefined

[11] I-95125 Catania,undefined

[12] Italy. e-mail: maragusa@dipmat.unict.it,undefined

来源：

manuscripta mathematica | 1998年 / 96卷

关键词：

Mathematics Subject Classification (1991):35B45, 35H05, 46E30, 46E35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let us consider the class of hypoelliptic operators\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} where z=(x,t) ∈ℝN+1, 0 > m0≤N the coefficients ai,j belong to the space of vanishing mean oscillation functions (VMOL) and B=(bi,j) is a constant real matrix. In this paper we prove that a strong solution to the differential equation Lu=f, with the known term f in the Morrey space Lp, λ, belongs to a suitable Sobolev–Morrey space Sp, λ. Then we prove some Morrey-type imbedding results that give a local Hölder continuity of the solution u.

引用

页码：371 / 392

页数：21