一类非局部时间半线性热方程的强解

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED Quarterly of Applied Mathematics Pub Date : 2020-07-09 DOI:10.1090/QAM/1579

Christoph Walker

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引用次数: 5

摘要

证明了一类非局部双线性热方程强解的存在性。该方程的主要特征是非局部项依赖于存在的整个时间间隔上的未知项，后者是先验给定的。该证明依赖于Schauder的不动点定理和半群理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Strong solutions to a nonlocal-in-time semilinear heat equation

Existence of strong solutions to a nonlocal semilinear heat equation is shown. The main feature of the equation is that the nonlocal term depends on the unknown on the whole time interval of existence, the latter being given a priori. The proof relies on Schauder's fixed point theorem and semigroup theory.

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.