Results 21 to 30 of about 242 (185)
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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The Global Dynamics of Discrete Semilinear Parabolic Equations [PDF]
SIAM Journal on Numerical Analysis, 1993 The authors consider a semilinear parabolic initial value problem possessing absorbing sets. The dynamical properties of various fininte difference and finite element schemes are analysed. The existence of absorbing sets, Lyapunov functions and attractors for the approximation are studied. The authors construct implicit schemes for which absorbing sets
Elliott, C. M., Stuart, A. M.
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Lack of smoothing for bounded solutions of a semilinear parabolic equation
Advances in Nonlinear Analysis, 2020 We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a singularity in the interior of the domain for all t > 0.
Fila Marek, Lankeit Johannes
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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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