Results 91 to 100 of about 17,216 (210)

Li-Yau type estimation of a semilinear parabolic system along geometric flow

Journal of Inequalities and Applications
This article provides a Li–Yau-type gradient estimate for a semilinear weighted parabolic system of semilinear equations along an abstract geometric flow on a smooth measure space. A Harnack-type inequality on the system is also derived at the end.
Yanlin Li, Sujit Bhattacharyya, Shahroud Azami, Shyamal Kumar Hui   +3 more
doaj   +1 more source

Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]

, 2000
We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng, Winter, M, Wei, Juncheng, Winter, Matthias, Juncheng Wei, Matthias Winter, Changfeng Gui, Gui, C, Wei, J   +8 more
core   +1 more source

Dichotomies for Abstract Semilinear Equations

Journal of Mathematical Analysis and Applications, 1995
The authors study the existence of solutions to \[ x'(t)= A(t) x(t)+ f(t, x(t)),\quad t\geq s, \] in a Banach space, where the linear operators \((A(t))_{t\geq s}\) generate a two-parameter strongly continuous evolutionary semigroup. Moreover, they give sufficient conditions on \(f\) and \((A(t))_{t\geq s}\) ensuring that the zero solution to the above
Chang, Y.H., Martin, R.H.
openaire   +1 more source

Robust observability for regular linear systems under nonlinear perturbation

Electronic Journal of Differential Equations, 2015
In this article, we consider the admissibility and exact observability of a class of semilinear systems obtained by nonlinear perturbation for regular linear systems.
Weisheng Jiang, Bin Liu, Zhibing Zhang
doaj  

Global existence and stability of some semilinear problems [PDF]

, 2000
summary:We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known ...
Tatar, N.-E., Kirane, M.
core   +1 more source

Finite approximate controllability for semilinear heat equations in noncylindrical domains

Anais da Academia Brasileira de Ciências, 2004
We investigate finite approximate controllability for semilinear heat equation in noncylindrical domains. First we study the linearized problem and then by an application of the fixed point result of Leray-Schauder we obtain the finite approximate ...
Menezes Silvano B. de, Limaco Juan, Medeiros Luis A.   +2 more
doaj  

Estimates for mild solutions to semilinear Cauchy problems

Electronic Journal of Differential Equations, 2014
The existence (and uniqueness) results on mild solutions of the abstract semilinear Cauchy problems in Banach spaces are well known. Following the results of Tartar (2008) and Burazin (2008) in the case of decoupled hyperbolic systems, we give an ...
Kresimir Burazin, Marko Erceg
doaj  

The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation. [PDF]

J Geom Anal, 2023
Baumann P, Mazari-Fouquer I, Sturm K.
europepmc   +1 more source

On a class of semilinear elliptic systems

Journal of Mathematical Analysis and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the solution stability of parabolic optimal control problems. [PDF]

Comput Optim Appl, 2023
Corella AD, Jork N, Veliov VM.
europepmc   +1 more source