Results 21 to 30 of about 27,208 (276)
Quantum Sturm-Liouville Equation, Quantum Resolvent, Quantum Integrals, and Quantum KdV : the Fast Decrease Case [PDF]
, 1995 We construct quantum operators solving the quantum versions of the Sturm-Liouville equation and the resolvent equation, and show the existence of conserved currents. The construction depends on the following input data: the basic quantum field $O(k)$ and
A. B. Zamolodchikov +8 more
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Unique solvability of boundary value problem for functional differential equations with involution [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign ...
K.Zh. Nazarova, K.I. Usmanov
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A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator [PDF]
, 2016 A novel reduced-order model for nonlinear flows is presented. The model arises from a resolvent decomposition in which the nonlinear advection terms of the Navier-Stokes equation are considered as the input to a linear system in Fourier space.
Blackburn, HM +4 more
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From resolvent estimates to damped waves [PDF]
, 2012 In this paper we show how to obtain decay estimates for the damped wave equation on a compact manifold without geometric control via knowledge of the dynamics near the un-damped set.
Christianson, Hans +3 more
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Fractal and Fractional, 2023 In this paper, we studied the Hölder regularities of solutions to an abstract fractional differential equation, which is regarded as an abstract version of fractional Rayleigh–Stokes problems, rising up to describing a non-Newtonian fluid with a Riemann ...
Jiawei He, Guangmeng Wu
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BACHET EQUATIONS AND CUBIC RESOLVENTS [PDF]
Communications of the Korean Mathematical Society, 2013 A Bachet equation Y 2 = X 3 +k will have a rational solution if and only if there is b 2 Q for which X 3 b 2 X 2 +k is reducible. In this paper we show that such cubics arise as a cubic resolvent of a biquadratic polynomial. And we prove various properties of cubic resolvents.
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Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential [PDF]
, 2015 We study the linear relaxation Boltzmann equation, a simple semiclassical kinetic model. We provide a resolvent estimate for an associated non-selfadjoint operator as well as an estimate on the return to equilibrium. This is done using a scaling argument
Robbe, Virgile
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Optimal design by resolving Boolean equations [PDF]
The Experience of Designing and Application of CAD Systems in Microelectronics, 2003. CADSM 2003. Proceedings of the 7th International Conference., 2004 The optimal design of a non-deterministic finite state machine by solving and resolving Boolean equations is shown, taking advantage of the relationships between single Boolean functions, sets of Boolean functions, Boolean equations, and their solutions.
B. Steinbach, C. Posthoff
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OBSERVABILITY OF BAOUENDI–GRUSHIN-TYPE EQUATIONS THROUGH RESOLVENT ESTIMATES [PDF]
Journal of the Institute of Mathematics of Jussieu, 2021 AbstractIn this article, we study the observability (or equivalently, the controllability) of some subelliptic evolution equations depending on their step. This sheds light on the speed of propagation of these equations, notably in the ‘degenerated directions’ of the subelliptic structure.First, for any $\gamma \geq 1$ , we establish a resolvent ...
Letrouit, Cyril, Sun, Chenmin
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Maximal Regularity of the Discrete Harmonic Oscillator Equation
Advances in Difference Equations, 2009 We give a representation of the solution for the best approximation of the harmonic oscillator equation formulated in a general Banach space setting, and a characterization of lp-maximal regularity—or well posedness—solely in terms of R ...
Airton Castro +2 more
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