带分数噪声的半线性热方程的局部L^p解

IF 0.9 4区数学 Q2 Mathematics

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-02-16 DOI:10.5186/aasfm.2020.4505

J. Clarke, C. Olivera

引用次数: 3

摘要

研究了由自相似参数$H > 1/2$的无限维分数阶布朗运动驱动的系数无界半线性热方程的$L^{p}$-解。证明了局部温和解的存在唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Local L^p-solution for semilinear heat equation with fractional noise

We study the $L^{p}$-solutions for the semilinear heat equation with unbounded coefficients and driven by a infinite dimensional fractional Brownian motion with self-similarity parameter $H > 1/2$. Existence and uniqueness of local mild solutions are showed.

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来源期刊

Annales Academiae Scientiarum Fennicae-Mathematica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Annales Academiæ Scientiarum Fennicæ Mathematica is published by Academia Scientiarum Fennica since 1941. It was founded and edited, until 1974, by P.J. Myrberg. Its editor is Olli Martio. AASF publishes refereed papers in all fields of mathematics with emphasis on analysis.