Results 71 to 80 of about 1,588 (189)

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

A Characterization of Completeness via Absolutely Convergent Series and the Weierstrass Test in Asymmetric Normed Semilinear Spaces

Abstract and Applied Analysis, 2014
Asymmetric normed semilinear spaces are studied. A description of biBanach, left K-sequentially complete, and Smyth complete asymmetric normed semilinear spaces is provided and three appropriate notions of absolute convergence in the asymmetric normed ...
N. Shahzad, O. Valero
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Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]

BMC Res Notes, 2023
Reda BT, Bullo TA, Duressa GF.
europepmc   +1 more source

Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients

Advances in Mathematical Physics, 2013
Semilinear stochastic dynamic systems in a separable Hilbert space often model some evolution phenomena arising in physics and engineering. In this paper, we study the existence and uniqueness of mild solutions to neutral semilinear stochastic functional
Feng Jiang
doaj   +1 more source

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
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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  

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  

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

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