Biwave operator
WebFor fourth-order equations with the biwave operator, the existence and uniqueness of strong solutions of some mixed problems were proved in [5–7], and the solution of a local Cauchy problem with boundary on an exterior characteristic surface was investigated in [8]. In the present paper, we consider a similar Goursat problem. WebDec 8, 2009 · On a spectral problem in the theory of the heat operator Authors. N. Yu. Kapustin; Content type: Short Communications Published: 08 December 2009; ... Goursat problem for a fourth-order equation with the biwave operator Authors. V. I. Korzyuk; E. S. Cheb; Content type: Partial Differential Equations Published: 08 December 2009;
Biwave operator
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Web4 Biwave equations: Cauchy problem It is easy to check that wave operator can be presented in the form = ∂2 ∂τ2 − = ∇− ∇+ = ∇+ ∇−. Using this property, it is possible to build the solution of the differential equations of the type: ∇±K = G. (4.1) We call such equations the biwave equations. From (4.1) it is follow that WebFeb 6, 2009 · In this paper we develop two conforming finite element methods for a fourth order bi-wave equation arising as a simplified Ginzburg-Landau-type model for d-wave superconductors in absence of applied magnetic field. Unlike the biharmonic operator $Δ^2$, the bi-wave operator $\\Box^2$ is not an elliptic operator, so the energy space …
WebAug 3, 2024 · The present paper deals with constructing solutions of boundary value problems for biquaternion wave (biwave) equations, which are biquaternion … WebABOUT US. We, Biwave Technologies, Inc. provide a most innovative solution to various signals transmission only through single coaxial cable for a long distance. Currently, our main products “Single Coaxial Cable …
WebJun 14, 2016 · Boundary-value problems for fourth-order linear partial differential equations of hyperbolic and composite types are studied. The method of energy inequalities and averaging operators with ... WebFeb 3, 2013 · The functional space of biquaternions is considered on Minkovskiy space. The scalar-vector biquaternions representation is used which was offered by W. Hamilton for quaternions. With introduction of differential operator - a mutual complex gradient (bigradients), which generalize the notion of a gradient on biquaternions space, …
WebThe spectrum of the Dirichlet problem for the Laplace operator in a plane T-shaped waveguide is investigated. The critical width of the half-strip branch is ... We consider the …
WebNov 12, 2012 · In this paper, we use the method of Fourier analysis to derive the formula of the total energy for the Cauchy problem of the Cauchy-Navier elastodynamics wave … east-lab / maxx herbWebJun 7, 2024 · Abstract We consider biquaternionic wave (biwave) equations. They are biquaternionic generalizations of the Maxwell and Dirac equations and are equivalent to a system of eight differential equations of hyperbolic type. Using the theory of generalized functions, we construct fundamental and generalized solutions of such equations, … east la alcoholism councilWebFeb 6, 2009 · Unlike the biharmonic operator $\Delta^2$, the bi-wave operator $\Box^2$ is not an elliptic operator, so the energy space for the bi-wave equation is much larger than … east ky rehabilitation center prestonsburg kyWeb21.12 The Biharmonic Equation. The biharmonic equation is a fourth-order partial differential equation that is important in applied mechanics. It has applications in the theory of … east ky music traders whitesburg kyWebApr 7, 2024 · This design will incorporate a total of four O-Drives in parallel and produce approximately 1 megawatt energy. A 250 kW pilot plant system would operate at 30 … cults ottersWebDec 8, 2009 · Goursat problem for a fourth-order equation with the biwave operator Goursat problem for a fourth-order equation with the biwave operator Korzyuk, V.; Cheb, E. 2009-12-08 00:00:00 We consider the Goursat problem for a fourth-order linear partial differential equation with the biwave operator. By using the energy inequality method … east la 13 walkoutWebApr 1, 1996 · Symmetry analysis of a class of biwave equations 2 u = F(u) and of a system of wave equations which is equivalent to it is performed.Reduction of the nonlinear biwave equations by means of the Ansätze invariant under non-conjugate subalgebras of the extended Poincaré algebra A P ̃ (1,1) and the conformal algebra AC(1,1) is carried out. … cult song list