Results 31 to 40 of about 14,488 (245)

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
doaj   +1 more source

Stochastic equations with boundary noise [PDF]

, 2008
We study the wellposedness and pathwise regularity of semilinear non-autonomous parabolic evolution equations with boundary and interior noise in an $L^p$ setting. We obtain existence and uniqueness of mild and weak solutions.
Schnaubelt, Roland, Veraar, Mark
core   +5 more sources

A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions [PDF]

, 2007
In this paper we study a simple non-local semilinear parabolic equation with Neumann boundary condition. We give local existence result and prove global existence for small initial data.
A. El Soufi, Alberti, Amann, Avinyo, Ball, Budd, Budd, Buser, Cazenave, Dal Maso, Davies, De Giorgi, Elliott, Fujita, Furter, Giga, Gilkey, Giusti, Herrero, Hu, Leray, Levine, Lieberman, Lunardi, M. Jazar, Merle, Meyer, Modica, Modica, Pazy, R. Monneau, Rubinstein, Souplet, Souplet, Souplet, Stewart, Szegö, Wang, Wang, Weinberger, Zaag   +40 more
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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, Nguyen Van Tien, Zaag Hatem   +2 more
doaj   +1 more source

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
openaire   +1 more source

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, Dirr Nicolas, Novaga Matteo   +2 more
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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
doaj   +1 more source

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
doaj   +1 more source

M-matrices and convergence of finite difference scheme for parabolic equation with integral boundary condition

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, Mifodijus Sapagovas, Kristina Pupalaigė   +2 more
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Five types of blow-up in a semilinear fourth-order reaction-diffusion equation: an analytic-numerical approach

, 2009
Five types of blow-up patterns that can occur for the 4th-order semilinear parabolic equation of reaction-diffusion type $$ u_t= -\Delta^2 u + |u|^{p-1} u \quad {in} \quad \ren \times (0,T), p>1, \quad \lim_{t \to T^-}\sup_{x \in \ren} |u(x,t)|= +\iy, $
Bakirova M I, Bebernes J, Bricmont J, Dalmasso R, Dold J W, Egorov Yu V, Fefferman C, Frank-Kamenetskii D A, Frank-Kamenetskii D A, Galaktinov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Guo Y, Hamilton R, Herrero M A, Herrero M A, Ibragimov N H, Joulin G Mikishev A B Sivashinsky G I, Kato T, Kurdyumov S P, Kurdyumov S P, Lepin L A, Lepin L A, Leray J, Levitan B M, Loewner C, Lunardi A, Maz'ja V, Mitidieri E, Naimark M A, Nussair E S, Ovsiannikov L V, Pao C V, Peletier L A, Quittner P, Samarskii A A, Semenov N, Svirshchevskii S R, Svirshchevskii S R, Tao T, V A Galaktionov, Velazquez J J L, Zel'dovich Ya B   +52 more
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