Classical and weak solutions for semilinear parabolic equations with Preisach hysteresis [PDF]
Opuscula Mathematica, 2008 We consider the solvability of the semilinear parabolic differential equation \[\frac{\partial u}{\partial t}(x,t)- \Delta u(x,t) + c(x,t)u(x,t) = \mathcal{P}(u) + \gamma (x,t)\] in a cylinder \(D=\Omega \times (0,T)\), where \(\mathcal{P}\) is a ...
Mathias Jais
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Impulsive fractional order integrodifferential equation via fractional operators. [PDF]
PLoS One, 2023 Al-Omari A, Al-Saadi H.
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Life span of blow-up solutions for higher-order semilinear parabolic equations
Electronic Journal of Differential Equations, 2010 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
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Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]
J Math Biol, 2023 Walker C.
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Tunable Heat-Flux Rectification in Graded Nanowires in Non-Linear Guyer-Krumhansl Regime. [PDF]
Nanomaterials (Basel), 2023 Carlomagno I, Cimmelli VA, Jou D.
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Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Int J Appl Comput Math, 2022 Guan Y, Fang T, Zhang D, Jin C.
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Existence for semilinear parabolic stochastic equations
Rendiconti Lincei, Matematica e Applicazioni, 2010 The boundary value problem for semilinear parabolic stochastic equations of the form dX –ΔX dt+ β (X) dt\ni \sqrt{Q}dW_t , where W_t is a Wiener process and
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Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact. [PDF]
J Math Biol, 2022 Song P, Xiao Y.
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Null controllability of semilinear degenerate parabolic equations in bounded domains
Electronic Journal of Differential Equations, 2006 In this paper we study controllability properties for semilinear degenerate parabolic equations with nonlinearities involving the first derivative in a bounded domain of R. Due to degeneracy, classical null controllability results do not hold in general.
Piermarco Cannarsa, Genni Fragnelli
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Electronic Journal of Differential Equations, 2011 For a given semilinear parabolic equation with polynomial nonlinearity, many solutions blow up in finite time. For a certain class of these equations, we show that some of the solutions which do not blow up actually tend to equilibria.
Michael Robinson
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