Blow-up of solutions for semilinear stochastic delayed reaction–diffusion equations with Lévy noise

Kexue Li

doi:10.1016/j.camwa.2017.09.021

Blow-up of solutions for semilinear stochastic delayed reaction–diffusion equations with Lévy noise

Kexue Li

数学与统计学院

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

This paper is concerned with a class of semilinear stochastic delayed reaction–diffusion equations driven by Lévy noise in a separable Hilbert space. We establish sufficient conditions to ensure the existence of a unique positive solution. Moreover, we study blow-up of solutions in finite time in mean L^p-norm sense. Several examples are given to illustrate applications of the theory.

源语言	英语
页（从-至）	388-400
页数	13
期刊	Computers and Mathematics with Applications
卷	75
期	2
DOI	https://doi.org/10.1016/j.camwa.2017.09.021
出版状态	已出版 - 15 1月 2018

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10.1016/j.camwa.2017.09.021

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title = "Blow-up of solutions for semilinear stochastic delayed reaction–diffusion equations with L{\'e}vy noise",

abstract = "This paper is concerned with a class of semilinear stochastic delayed reaction–diffusion equations driven by L{\'e}vy noise in a separable Hilbert space. We establish sufficient conditions to ensure the existence of a unique positive solution. Moreover, we study blow-up of solutions in finite time in mean Lp-norm sense. Several examples are given to illustrate applications of the theory.",

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author = "Kexue Li",

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AU - Li, Kexue

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AB - This paper is concerned with a class of semilinear stochastic delayed reaction–diffusion equations driven by Lévy noise in a separable Hilbert space. We establish sufficient conditions to ensure the existence of a unique positive solution. Moreover, we study blow-up of solutions in finite time in mean Lp-norm sense. Several examples are given to illustrate applications of the theory.

KW - Blow-up

KW - Lévy noise

KW - Positive solutions

KW - Stochastic delayed reaction–diffusion equation

UR - https://www.scopus.com/pages/publications/85030452791

U2 - 10.1016/j.camwa.2017.09.021

DO - 10.1016/j.camwa.2017.09.021

M3 - 文章

AN - SCOPUS:85030452791

SN - 0898-1221

VL - 75

SP - 388

EP - 400

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 2

ER -

Blow-up of solutions for semilinear stochastic delayed reaction–diffusion equations with Lévy noise

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