Voting models and semilinear parabolic equations [PDF]
, 2023 Jing An +2 more
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On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator
Journal of Inequalities and Applications, 2006 We consider the basin of the zero-solution to a semilinear parabolic equation on with the Ornstein-Uhlenbeck operator. Our aim is to show that the Ornstein-Uhlenbeck operator contributes to enlargement of the basin by using the logarithmic Sobolev ...
Fujita Yasuhiro
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Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations
, 2017 Blow-up phenomena ofvweakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equationsvis shown by a straightforward ODE approach not so-called test-function method, which gives the natural blow-up rate.
Fujiwara, Kazumasa +2 more
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On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations with gradient-dependent nonlinearities [PDF]
, 2023 Martin Hutzenthaler, Katharina Pohl
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Pullback attractors for non-autonomous parabolic equations involving Grushin operators
Electronic Journal of Differential Equations, 2010 Using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain.
Cung The Anh
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Global existence and asymptotic behavior of solutions to a semilinear parabolic equation on Carnot groups [PDF]
, 2015 Zixia Yuan
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Error Analysis for Time-Fractional Semilinear Parabolic Equations Using Upper and Lower Solutions [PDF]
, 2020 Natalia Kopteva
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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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Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
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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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