Results 101 to 110 of about 1,641,201 (192)

Global Carleman estimate on a network for the wave equation and application to an inverse problem

open access: yes, 2011
20 pagesInternational audienceWe are interested in an inverse problem for the wave equation with potential on a starshaped network. We prove the Lipschitz stability of the inverse problem consisting in the determination of the potential on each string of
Emmanuelle Crépeau   +6 more
core   +1 more source

ON CARLEMAN-TYPE INEQUALITIES [PDF]

open access: yes, 2020
. We give a weighted version of an inequality of Redheffer, which he used to treat Carleman's inequality.
Peng Gao
core  

Uniqueness and structure-preserving numerical simulations for an Ultrahyperbolic Schrödinger equation

open access: yesScientific Reports
In this paper, we investigate a Cauchy problem for an ultrahyperbolic Schrödinger equation posed in an unbounded domain. Ultrahyperbolic Schrödinger models arise in multidimensional wave propagation and have applications in water wave theory, quantum ...
Özlem Kaytmaz, Muhammed Hasdemir
doaj   +1 more source

An Algorithm for the Solution of Integro-Fractional Differential Equations with a Generalized Symmetric Singular Kernel

open access: yesFractal and Fractional
This work studies an integro-fractional differential equation (I-FrDE) with a generalized symmetric singular kernel. The scientific approach in this study was to transform the integro-differential equation (I-DE) into a mixed integral equation (MIE) with
Sameeha A. Raad, Mohammed A. Abdou
doaj   +1 more source

Null controllability of a cascade system of Schrodinger equations

open access: yesElectronic Journal of Differential Equations, 2016
This article presents a control problem for a cascade system of two linear N-dimensional Schrodinger equations. We address the problem of null controllability by means of a control supported in a region not satisfying the classical geometrical control
Marcos Lopez-Garcia   +2 more
doaj  

End-to-End Quantum Algorithm for Nonlinear Fluid Dynamics with Bounded Quantum Advantage

open access: yesPRX Quantum
Computational fluid dynamics (CFD) is a cornerstone of classical scientific computing, and there is growing interest in whether quantum computers can accelerate such simulations.
David Jennings   +5 more
doaj   +1 more source

Observability estimate for stochastic Schrödinger equations and its applications

open access: yes, 2013
In this paper, we establish a boundary observability estimate for stochastic Schrödinger equations by means of the global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a stochastic Schrödinger-like operator ...
Lü, Q., Lü Q.
core   +1 more source

Carleman estimate and unique continuation property for the linear stochastic Kortweg-De Vries equation

open access: yes, 2014
In this paper, we obtain the well posedness of the linear stochastic Korteweg–de Vries equation by the Galerkin method, and then establish the Carleman estimate, leading to the unique continuation property (UCP) for the linear stochastic Korteweg–de ...
Gao, P.
core   +1 more source

An Algorithm for Solving Phase-Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

open access: yesAdvances in Mathematical Physics
In this work, a nonlinear fractional integrodifferential equation (NFIo-DE) with discontinuous generalized kernel in position and time is explored in space L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
doaj   +1 more source

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