Results 121 to 130 of about 14,488 (245)

Null controllability of semilinear degenerate parabolic equations in bounded domains

open access: yesElectronic 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
doaj  

Classification of heteroclinic orbits of semilinear parabolic equations with a polynomial nonlinearity

open access: yesElectronic Journal of Differential Equations, 2011
For a given semilinear parabolic equation with polynomial nonlinearity, many solutions blow up in finite time. For a certain class of these equations, we show that some of the solutions which do not blow up actually tend to equilibria.
Michael Robinson
doaj  

Numerical convergence for semilinear parabolic equations

open access: yes, 2012
We present a convergence result for finite element discretisations of semilinear parabolic equations, in which the evaluation of the nonlinearity requires some high order of regularity of the solution. For example a coefficient might depend on derivatives or pointevaluation of the solution. We do not rely on high regularity of the exact solution itself
openaire   +2 more sources

Global well-posedness of semilinear hyperbolic equations, parabolic equations and Schrodinger equations

open access: yesElectronic Journal of Differential Equations, 2018
This article studies the existence and nonexistence of global solutions to the initial boundary value problems for semilinear wave and heat equation, and for Cauchy problem of nonlinear Schrodinger equation.
Runzhang Xu   +4 more
doaj  

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