摘要:

AbstractWe show how saddle point techniques can be used to obtain new results for general resonance problems of the type considered by Landesman and Lazer.

ISSN:0170-4214    

DOI:10.1002/mma.1670170402

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractThis paper deals with the upper bound of the life span of classical solutions to □u= ∣u∣p,u∣t = 0= εφ(x),ut∣t=0= εψ(x) with the critical power ofpin two or three space dimensions. Zhou has proved that the rate of the upper bound of this life span is exp(ε−p(p−1)). But his proof, especially the two‐dimensional case, requires many properties of special functions. Here we shall give simple proofs in each space dimension which are produced by pointwise estimates of the fundamental solution of □. We claim that both proofs are done

ISSN:0170-4214    

DOI:10.1002/mma.1670170403

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractWe prove the correctness of a principle of linearization in the investigation of the uniform asymptotic stability of a sufficiently smooth, but generally non‐steady, solution of the Navier‐Stokes equations for compressible fluids in the case of a constant temperat

ISSN:0170-4214    

DOI:10.1002/mma.1670170404

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractIn an exterior domain Ω⊂ℝn, n ⩾ 2, we consider the generalized Stokes resolvent problem in Lq‐space where the divergenceg= div u and inhomogeneous boundary valuesu= ψ with zero flux ∫∂Ωψ·Ndo = 0 may be prescribed. A crucial step in our approach is to find and to analyse the right space for the divergenceg. We prove existence, uniqueness anda prioriestimates of the solution and get new results for the divergence problem. Further, we consider the non‐stationary Stokes system with non‐homogeneous divergence and boundary values and prove estimates of the solution inL5(0,T

ISSN:0170-4214    

DOI:10.1002/mma.1670170405

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractIn the inverse electromagnetic scattering problem for an inhomogeneity of compact support with constant permittivity Colton and Päivärinta suggested an optimization scheme which yields a numerical method for determining the refractive index if the far‐field data of the scattering problem is known [1]. We prove the denseness of the Cauchy data to certain interior transmission problems and conclude that the infimum of the optimization scheme is zero even if the permittivity varies. Before proving the denseness result, we investigate a boundary value problem which is needed to prove the denseness res

ISSN:0170-4214    

DOI:10.1002/mma.1670170406

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

ISSN:0170-4214    

DOI:10.1002/mma.1670170401

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY