Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains

Mohamed Jleli; Bessem Samet; Dong Ye

doi:10.1016/j.jde.2019.09.051

Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains

Mohamed Jleli
, Bessem Samet
, Dong Ye^*

^*此作品的通讯作者

数学科学学院

King Saud University
Université de Lorraine

科研成果: 期刊稿件 › 文章 › 同行评审

33 引用（Scopus）

摘要

We consider blow-up results for a system of inhomogeneous wave inequalities in exterior domains. We will handle three type boundary conditions: Dirichlet type, Neumann type and mixed boundary conditions. We use a unified approach to show the optimal criteria of Fujita type for each case. Our study yields naturally optimal nonexistence results for the corresponding stationary wave system and equation. We provide many new results and close some open questions.

源语言	英语
页（从-至）	3035-3056
页数	22
期刊	Journal of Differential Equations
卷	268
期	6
DOI	https://doi.org/10.1016/j.jde.2019.09.051
出版状态	已出版 - 5 3月 2020

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title = "Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains",

abstract = "We consider blow-up results for a system of inhomogeneous wave inequalities in exterior domains. We will handle three type boundary conditions: Dirichlet type, Neumann type and mixed boundary conditions. We use a unified approach to show the optimal criteria of Fujita type for each case. Our study yields naturally optimal nonexistence results for the corresponding stationary wave system and equation. We provide many new results and close some open questions.",

keywords = "Blow-up, Critical criteria, Exterior domain, Inhomogeneous wave inequalities",

author = "Mohamed Jleli and Bessem Samet and Dong Ye",

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AU - Jleli, Mohamed

AU - Samet, Bessem

AU - Ye, Dong

PY - 2020/3/5

Y1 - 2020/3/5

N2 - We consider blow-up results for a system of inhomogeneous wave inequalities in exterior domains. We will handle three type boundary conditions: Dirichlet type, Neumann type and mixed boundary conditions. We use a unified approach to show the optimal criteria of Fujita type for each case. Our study yields naturally optimal nonexistence results for the corresponding stationary wave system and equation. We provide many new results and close some open questions.

AB - We consider blow-up results for a system of inhomogeneous wave inequalities in exterior domains. We will handle three type boundary conditions: Dirichlet type, Neumann type and mixed boundary conditions. We use a unified approach to show the optimal criteria of Fujita type for each case. Our study yields naturally optimal nonexistence results for the corresponding stationary wave system and equation. We provide many new results and close some open questions.

KW - Blow-up

KW - Critical criteria

KW - Exterior domain

KW - Inhomogeneous wave inequalities

UR - https://www.scopus.com/pages/publications/85072726417

U2 - 10.1016/j.jde.2019.09.051

DO - 10.1016/j.jde.2019.09.051

M3 - 文章

AN - SCOPUS:85072726417

SN - 0022-0396

VL - 268

SP - 3035

EP - 3056

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 6

ER -

Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains

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