Impulsive fractional order integrodifferential equation via fractional operators. [PDF]
Al-Omari A, Al-Saadi H.
europepmc +1 more source
Superconvergence for General Convex Optimal Control Problems Governed by Semilinear Parabolic Equations [PDF]
Yongquan Dai, Yanping Chen
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Life span of blow-up solutions for higher-order semilinear parabolic equations
In this article, we study the higher-order semilinear parabolic equation $$displaylines{ u_t+(-Delta)^m u=|u|^p, quad (t,x)in mathbb{R}^1_+imes mathbb{R}^N,cr u(0,x)= u_0(x),quad xin mathbb{R}^N.
Fuqin Sun
doaj
Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]
Walker C.
europepmc +1 more source
BLOW-UP FOR A SEMILINEAR PARABOLIC EQUATION WITH NONLINEAR MEMORY AND NONLOCAL NONLINEAR BOUNDARY [PDF]
Dengming Liu, Chunlai Mu, Iftikhar Ahmed
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Threshold result for semilinear parabolic equations
In this paper, we study initial boundary value problem of semilinear parabolic equations and prove that any positive solution of its steady-state problem is an initial datum threshold for the existence and nonexistence of global solution to the above mentioned parabolic ...
Dai, Qiuyi +3 more
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Tunable Heat-Flux Rectification in Graded Nanowires in Non-Linear Guyer-Krumhansl Regime. [PDF]
Carlomagno I, Cimmelli VA, Jou D.
europepmc +1 more source
Local solvability of semilinear parabolic equations
Employing the iteration technique formerly used by N. D. Alikakos, the author proves the local existence of the mixed problem for semilinear parabolic equations with linear boundary condition of the third type. The treated class of equations covers most of the recently studied single equations with blowing-up solutions. A seemingly new estimate for the
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Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Guan Y, Fang T, Zhang D, Jin C.
europepmc +1 more source
Asymptotic behavior of semilinear parabolic equations with combined nonlinearities
Li Ma, Kaiqiang Zhang
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