ISSN:0025-584X    

DOI:10.1002/mana.3211600102

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.3211600103

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.3211600104

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.3211600105

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.3211600106

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

摘要:

AbstractPseudodifferential operators with non‐smooth symbols on a manifoldMwith Lipschitz boundary are considered. Theorems about order reduction and localization of such operators in Bessel potentialH spand Hölder‐Zygmund Z αp(IRn) spaces are proved. A pseudodifferential operatorAwith locally sectorial matrix symbol is proved to be Fredholm in the spaceH s2(M) and Ind A = 0 where s depends onA.Application to a boundary value problem for an elastic body with crack is discussed in

ISSN:0025-584X    

DOI:10.1002/mana.3211600107

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

摘要:

AbstractIn the present paper, we consider the nonlinear Dirichlet problem ‐ Δu(x)uβ(x) = 0is the unit ball and q is a continuous radially symmetric function onBwhich may be singular on ∂B. We state some mild conditions for the functionqso that the Dirichlet problem has a positive classical sol

ISSN:0025-584X    

DOI:10.1002/mana.3211600108

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

摘要:

AbstractLetXbe a projective algebraic manifold of dimensionn(over C),CH1(X) the Chow group of algebraic cycles of codimensionlonX, modulo rational equivalence, andA1(X) ⊂CH1(X) the subgroup of cycles algebraically equivalent to zero. We say thatA1(X) isfinite dimensionalif there exists a (possibly reducible) smooth curveTand a cycle z∈CH1(Γ × X) such that z*:A1(Γ)‐A1(X) is surjective. There is the well known Abel‐Jacobi map λ1:A1(X)‐J 1a(X), whereJ 1a(X) is thelth Lieberman Jacobian. It is easy to show thatA1(X)→J 1a(X)A1(X) finite dimensional. Now setwith corresponding mapA*(X)→J *a(X). Also define Level. In a recent book by the author, there was stated the following conjecture:where it was also shown that (⟹) in (**) is a consequence of the General Hodge Conjecture (GHC). In this present paper, we proveA*(X) finite dimensional⇔︁ Level (H*(X)) ≤ 1 for a special (albeit significant) class of smooth hypersurfaces. We make use of the family ofk‐planes onX, where([…] = greatest integer function) andd= degX; moreover the essential technical ingredients are the Lefschetz theorems for cohomology and an analogue for Chow groups of hypersurfaces. These ingredients in turn imply very special cases of the GHC for our choice of hypersurfacesX.Some applications to the Griffiths group, vanishing results, and (universal) algebraic representati

ISSN:0025-584X    

DOI:10.1002/mana.3211600109

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.3211600110

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

摘要:

AbstractWe consider the approximate solution of Wiener‐Hopf integral equations by Galerkin, collocation and Nyström methods based on piecewise polynomials where accuracy is achieved by increasing simultaneously the number of mesh points and the degree of the polynomials. We look for the stability of those methods in theLqnorm, 1≤q≤∞. Provided the exact solution is analytic on the half‐axis and decays exponentially at infinity, we prove an exponential rate of convergence with respect to the number of degrees

ISSN:0025-584X    

DOI:10.1002/mana.3211600111

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY