摘要:

AbstractThe paper starts with a short survey of the treatment of initial‐boundary‐value problems in temperature‐free linear elasticity with unisotropic media. The main part of the paper is concerned with exterior initial‐boundary‐value problems in thermoelasticity. In this case the underlying differential operatorAis no longer selfadjoint. Thus the spectrum ofAhas to be discussed. In 2.1 it is shown that all λ with Re λ<0 belong to the resolvent set. In 2.2 the caseG= R3with homogeneous isotropic media is considered. Let Λ be the essential spectrum in this case. In 2.3 Λ depending on the thermic coupling parameter is discussed. 2.4 treats the spectrum ofAassuming the medium to be homogeneous and isotrop outside a large ball. In this case Λ is the essential spectrum forAtoo. Radiation conditions are formulated. Finally 2.5 presents a short treatment of the time dependent case with Laplace

ISSN:0170-4214    

DOI:10.1002/mma.1670020402

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractThe purpose of this paper is the application of Green's theory and Green‐Lagrange integral formulas relative to Legendre's differential operator to obtain integral expressions of remainder terms in Gaussian mechanical quadrature

ISSN:0170-4214    

DOI:10.1002/mma.1670020403

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractThis paper deals with the Neumann problem of the pre‐Maxwell partial differential equationsfor a vector fieldvdefined in a regionG⊂R3. We approximate its uniquely determined solution (integrability conditions assumed) uniformly onGby explicitly computable particular integrals and linear combinations of vector fields with a “fundamental” sequence of

ISSN:0170-4214    

DOI:10.1002/mma.1670020404

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractIn an earlier paper [1] a general procedure has been presented to obtain polynomial spline approximations for the solution of the initial value problem for ordinary differential equations. In this paper the general procedure is described by an equivalent one step method. Furthermore two convergence theorems are proved for a special case which is not included in the general convergence or divergence theory given in [1].

ISSN:0170-4214    

DOI:10.1002/mma.1670020405

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractThe Vlasov equation with electric and magnetic fields generated by the distribution of the plasma is considered. For a simplified model with one space and two velocity coordinates and a mollification of the spatial density and the mean velocity in the Maxwell equations an existence and uniqueness theorem is proved.

ISSN:0170-4214    

DOI:10.1002/mma.1670020406

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractClassical theorems about matrices with non‐negative elements can be generalized for application in eigenvalue problems of integro‐differential form appearing in the description of stationary particle transport. In this way the existence and unicity of positive L1‐eigensolutions of them‐quasi‐completely‐continuous transport operator can be deduced. These solutions can be realized by a method of successive ap

ISSN:0170-4214    

DOI:10.1002/mma.1670020407

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractAtomistic equations of the electromagnetic field for a particle with spin are derived from a Lagrangian. These equations are consistent with the equations of motion for such a particle. The resulting phenomenological equations are the well‐known equations of Maxwell for the electromagnetic field in matter. The atomistic field equations for a particle with spin and magnetic moment give a dipole field. This result and the corresponding quantum mechanics for a particle with spin are applied to compute the hyperfine structure of the hydrogen atom by perturbation theor

ISSN:0170-4214    

DOI:10.1002/mma.1670020408

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractIn the following paper a methodological survey with respect to applications of the horizontal line method (Rothe's method) to a class of initial boundary value problems is given. By means of results from abstract perturbation theory, convergence results and error estimates are established for several special initial boundary value problems of mathematical physics.

ISSN:0170-4214    

DOI:10.1002/mma.1670020409

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractSome monotonicity results are given for the remainder terms in the asymptotic expansion forx→ ∞ of the functionJv(x)Jv+n(x) +Yv(xYv+n(x),vε R,

ISSN:0170-4214    

DOI:10.1002/mma.1670020410

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractIn this paper we describe a class of Gauß‐Seidel iterations for the solution of large sparse nonlinear systems of equations. For suitable starting vectors every method of this class is monotonically convergent with respect to both sides. The result will be applied to the numerical solution of nonlinear boundary‐value problems and boundary layer prob

ISSN:0170-4214    

DOI:10.1002/mma.1670020411

出版商:John Wiley&Sons, Ltd    

年代:1980

数据来源: WILEY