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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.
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https://hal.univ-lorraine.fr/hal-02894443
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Submitted on : Wednesday, July 8, 2020 - 10:57:01 PM
Last modification on : Wednesday, November 3, 2021 - 4:46:42 AM
Long-term archiving on: : Monday, November 30, 2020 - 4:46:48 PM

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Mohamed Jleli, Bessem Samet, Dong Ye. Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains. Journal of Differential Equations, Elsevier, 2020, 268 (6), pp.3035-3056. ⟨10.1016/j.jde.2019.09.051⟩. ⟨hal-02894443⟩

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