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Browsing by Author "Ozsari, Turker"
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BLOWUP OF SOLUTIONS OF NONLINEAR SCHRODINGER EQUATIONS WITH OSCILLATING NONLINEARITIES
Ozsari, Turker (Amer Inst Mathematical SciencesAims, 2019)The finite time blowup of solutions for 1D NLS with oscillating nonlinearities is shown in two domains: (1) the whole real line where the nonlinear source is acting in the interior of the domain and (2) the right halfline ... 
Complex GinzburgLandau equations with dynamic boundary conditions
Correa, Wellington Jose; Ozsari, Turker (PergamonElsevier Science Ltd, 2018)The initialdynamic boundary value problem (idbvp) for the complex GinzburgLandau equation (OGLE) on bounded domains of RN is studied by converting the given mathematical model into a Wentzell initialboundary value ... 
An elementary proof of the lack of null controllability for the heat equation on the half line
Kalimeris, Konstantinos; Ozsari, Turker (PergamonElsevier Science Ltd, 2020)In this note, we give an elementary proof of the lack of null controllability for the heat equation on the half line by employing the machinery inherited by the unified transform, known also as the Fokas method. This ... 
Exponential stability for the nonlinear Schrodinger equation with locally distributed damping
Cavalcanti, Marcelo M.; Correa, Wellington J.; Ozsari, Turker; Sepulveda, Mauricio; VejarAseme, Rodrigo (Taylor & Francis Inc, 9999)In this paper, we study the defocusing nonlinear Schrodinger equation with a locally distributed damping on a smooth bounded domain as well as on the whole space and on an exterior domain. We first construct approximate ... 
THE INITIALBOUNDARY VALUE PROBLEM FOR THE BIHARMONIC SCHRODINGER EQUATION ON THE HALFLINE
Ozsari, Turker; Yolcu, Nermin (Amer Inst Mathematical SciencesAims, 2019)We study the local and global wellposedness of the initialboundary value problem for the biharmonic Schrodinger equation on the halfline with inhomogeneous DirichletNeumann boundary data. First, we obtain a representation ... 
NONLINEAR SCHRODINGER EQUATIONS ON THE HALFLINE WITH NONLINEAR BOUNDARY CONDITIONS
Batal, Ahmet; Ozsari, Turker (Texas State Univ, 2016)In this article, we study the initial boundary value problem for nonlinear Schrodinger equations on the halfline with nonlinear boundary conditions u(x)(0,t) + lambda vertical bar u(0,t)vertical bar(r) u(0,t) = 0, lambda ... 
Output feedback stabilization of the linearized Kortewegde Vries equation with right endpoint controllers
Batal, Ahmet; Ozsari, Turker (PergamonElsevier Science Ltd, 2019)In this paper, we prove the output feedback stabilization for the linearized Kortewegde Vries (KdV) equation posed on a finite domain in the case the full state of the system cannot be measured. We assume that there is a ... 
PSEUDOBACKSTEPPING AND ITS APPLICATION TO THE CONTROL OF KORTEWEGDE VRIES EQUATION FROM THE RIGHT ENDPOINT ON A FINITE DOMAIN
Ozsari, Turker; Batal, Ahmet (Siam Publications, 2019)In this paper, we design DirichletNeumann boundary feedback controllers for the Kortewegde Vries equation that act at the right endpoint of the domain. The length of the domain is allowed to be critical. Constructing ...