Almost automorphy of semilinear parabolic evolution equations
Electronic Journal of Differential Equations, 2008 This paper studies the existence and uniqueness of almost automorphic mild solutions to the semilinear parabolic evolution equation $$ u'(t)=A(t)u(t)+f(t, u(t)), $$ assuming that the linear operators $A(cdot)$ satisfy the Acquistapace-Terreni ...
Lahcen Maniar +3 more
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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 $$displaylines{ u_t+(-Delta)^m u=|u|^p, quad (t,x)in mathbb{R}^1_+imes mathbb{R}^N,cr u(0,x)= u_0(x),quad xin mathbb{R}^N.
Fuqin Sun
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Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]
J Math Biol, 2023 Walker C.
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Tunable Heat-Flux Rectification in Graded Nanowires in Non-Linear Guyer-Krumhansl Regime. [PDF]
Nanomaterials (Basel), 2023 Carlomagno I, Cimmelli VA, Jou D.
europepmc +1 more source
Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Int J Appl Comput Math, 2022 Guan Y, Fang T, Zhang D, Jin C.
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Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact. [PDF]
J Math Biol, 2022 Song P, Xiao Y.
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Removable singularities of semilinear parabolic equations
Advances in Differential Equations, 2010 We prove that the parabolic equation $$f_t=\Delta f+F(x,f,\nabla f,t), $$ in $(\mathbb R^m\setminus\{0\})\times(0,T)$, $m\ge 3$, has removable singularities at $\{0\}\times (0,T)$ if $\|f\|_{L^{\infty}(\mathbb{R}^m\setminus\{0\}\times (0,T))}
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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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