[PDF] Top 20 Schrödinger-type identity for Schrödinger free boundary problems

... more general sufficient conditions by weakening the above condition in [19]. Recently, Lv and Ulker and Huang established the first necessary and sufficient condition in the time domain and a parallel result in the frequency ... See full document

... This paper was devoted to modifying the Schrödinger-type identity related to the sin- gular boundary value problem. We also presented some mathematical consequences of the method including a ... See full document

... the boundary value problems of discrete linear systems asso- ciated with the Schrödinger operator in discrete time context, which contain unstable subsystems associated with the Schrödinger ... See full document

... modified Schrödinger-type identity related to the Schrödinger-type boundary value problem with mixed boundary conditions and spatial ...This identity can be regarded ... See full document

... It is well known that classical stochastic differential equations are encountered when one applies the stochastic maximum principle to optimal stochastic control problems. Such equations are also encountered in the ... See full document

... control problems of distributed systems involving Schrödinger operator have been widely discussed in many ...Many boundary control problems have been introduced in ... See full document

... the Schrödinger oper- ator ...of free boundary problem with respect to the Schrödinger operator in heterogeneous ...the Schrödinger operator was discussed in [34] (see also [13, 20, 21, ... See full document

... However, it could be shown that beside the known discrete orthogonality measure, specified in the aforementioned internet report, the discrete basic Hermite polynomials of type II, hence being connected to 3.1 ... See full document

... stationary Schrödinger equations are often used to express real-life ...stationary Schrödinger inequality equation from modified Schrödinger differential equations (see [4, 5, ... See full document

... the Schrödinger operator (1) was introduced for the first time in the context of the stationary Schrödinger equations in [9, ...new type of minimal thinness with respect to the stationary ... See full document

... the free non-relativistic electron in the double slit experiment with fixed diaphragms (where the wave function is three-dimensional), in which we can visualize or picture the development of (at least the square ... See full document

... which was proposed by Kirchhoff [] as an extension of the classical D’Alembert wave equation for free vibrations of elastic strings. It is pointed out in [] that Kirchhoff-type problem (.) models several ... See full document

... designed in [–], which such that system is uniformly exponentially stable. With the aid of these results, we construct a state-feedback switching law such that SPLSs are exponen- tially stable [, ]. We establish ... See full document

... acoustic boundary conditions have been treated by many authors ...acoustic boundary conditions was studied by a few ...acoustic boundary conditions and n ...acoustic boundary conditions, which ... See full document

... the Schrödinger operator on a cone is constructed by the generalized Poisson integral with a slowly growing continuous boundary ...continuous boundary function is also given explicitly by the Poisson ... See full document

... Tegmark and Wheeler [9] mention a poll made at a conference on quantum computation, at the Isaac Newton Institute in Cambridge, in July 1999. One of the questions was “Do you believe that all isolated systems obey the ... See full document

... In this paper, a compact finite difference scheme is constructed for the nonlinear Schrödinger equation involving a quintic term. The discrete maximum norm error es- timates show that the proposed schemes are in ... See full document

... The scientific community controls the possible errors by a rigorous process using referees. Consequently the only possible errors are very few, they come from what anyone considers obviously true. Three of these errors ... See full document

... general Schrödinger equations with a superlinear Neumann boundary value problem in domains with conical points on the boundary of the ...of Schrödinger equations or of delay Schrödinger ... See full document

... nonlinear Schrödinger equations in exterior ...nonlinear Schrödinger equation and the focusing cubic nonlinear Schrödinger equation in the exterior domain Ω of a smooth, compact, strictly convex ... See full document