Well-posedness for a class of pseudo-differential hyperbolic equations on the torus

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-07-06 DOI:10.1007/s00010-024-01093-x

Duván Cardona, Julio Delgado, Michael Ruzhansky

引用次数: 0

Abstract

In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class considered here includes a space-like fractional order Laplacians. By applying the toroidal pseudo-differential calculus we establish regularity estimates, existence and uniqueness in the scale of the standard Sobolev spaces on the torus.

查看原文本刊更多论文

环面上一类伪差分双曲方程的好求解性

在本文中，我们确定了环面上一类伪微分双曲方程的考希问题的好求解性。本文考虑的这一类方程包括类似空间的分数阶拉普拉奇方程。通过应用环状伪微分学，我们建立了正则性估计，以及在环上标准索波列夫空间尺度上的存在性和唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.