Results 11 to 20 of about 240 (185)
Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space
Abstract and Applied Analysis, 2014 This paper is focused on the error estimates for solutions of the three-dimensional semilinear parabolic equation with initial data u0∈L2(ℝ3). Employing the energy methods and Fourier analysis technique, it is proved that the error between the solution ...
Xiaomei Hu
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A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS
Pesquimat, 2014 In this work we consider a linearized system of parabolic equations associated to a semilinear system of heat equations. Following the ideas of O. Imanuvilov, M. Yamamoto and L.
Víctor Rafael Cabanillas Zannini
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Construction of type I blowup solutions for a higher order semilinear parabolic equation
Advances in Nonlinear Analysis, 2019 We consider the higher-order semilinear parabolic ...
Ghoul Tej-Eddine +2 more
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Heteroclinic Orbits of Semilinear Parabolic Equations
Journal of Differential Equations, 1996 The authors study attractors of semilinear parabolic problems \[ u_t= u_{xx}+ f(x, u, u_x),\;t> 0,\;0< x< 1,\quad u_x(t, 0)= u_x(t, 1)= 0. \] Here \(f\in C^2\) and appropriate dissipativity conditions are assumed so that the global attractor exists. It is known that the attractor consists of equilibria and heteroclinic orbits connecting them.
Fiedler, Bernold, Rocha, Carlos
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ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM
Ural Mathematical Journal, 2015 A reverse time problem is considered for a semilinear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator.
Elena V. Tabarintseva
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Asymptotic speed of propagation for a viscous semilinear parabolic equation
ESAIM: Proceedings and Surveys, 2016 We characterize the asymptotic speed of propagation of almost planar solutions to a semilinear viscous parabolic equation, with periodic nonlinearity.
Cesaroni Annalisa +2 more
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Antiperiodic Problems for Nonautonomous Parabolic Evolution Equations
Abstract and Applied Analysis, 2014 This work focuses on the antiperiodic problem of nonautonomous semilinear parabolic evolution equation in the form u′(t)=A(t)u(t)+f(t,u(t)), t∈R, u(t+T)=-u(t), t∈R, where (At)t∈R (possibly unbounded), depending on time, is a family of closed and densely ...
R. N. Wang, Y. Zhou
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Mathematical Modelling and Analysis, 2020 In the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered.
Regimantas Čiupaila +2 more
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Well-posedness of the solution of the fractional semilinear pseudo-parabolic equation
Boundary Value Problems, 2020 This article concerns the Cauchy problem for the fractional semilinear pseudo-parabolic equation. Through the Green’s function method, we prove the pointwise convergence rate of the solution.
Jiazhuo Cheng, Shaomei Fang
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Asymptotic behavior for parabolic equations with interior degeneracy
Examples and Counterexamples, 2022 The long time behavior of a class of degenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a(x)is allowed to vanish in a set of positive measure in the interior of the domain.
María Astudillo +3 more
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