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math.AP2019
Critical behavior for a semilinear parabolic equation with forcing term depending of time and space
Mohamed Jleli, Tatsuki Kawakami, Bessem Samet
We investigate the large-time behavior of the sign-changing solution of the inhomogeneous semilinear heat equation with a forcing term depending of time and space. we identify the…
math.AP2019
Nonexistence results for a higher-order evolution equation with an inhomogeneous term depending on time and space
Mohamed Jleli, Ning-An Lai, Bessem Samet
We consider a higher-order evolution equation with an inhomogeneous term depending on time and space. We first derive a general criterion for the nonexistence of weak solutions. Ne…
math.AP2019
Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains
Mohamed Jleli, Bessem Samet, Dong Ye
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 mix…