摘要:

AbstractNoncharacteristic Cauchy problems for parabolic equations arc frequently encountered in many areas of heat transfer. These problems are well known to be severely ill‐posed. In this paper a solvability criterion for a class of such problems is established. It is proved that a weak solution of a noncharacteristic Cauchy problem for linear parabolic equations in divergence form with coefficients in a Holmgren class 2 in time exists if and only if the Cauchy data arc functions of a Holmgren class 2! A function g(t) defined on (α, β) is said to be of a Holmgren class 2, if g ϵC∞(α, β) and for all nonnegative integersnthere exist positive constantscandssuch that |g(n)|<

ISSN:0025-584X    

DOI:10.1002/mana.19951710112

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractUsing techniques from algebraic topology we derive linear inequalities which relate the spectrum of a set of Hermitian matricesA1,…,Arϵ¢n×nwith the spectrum of the sumA1+ … +Ar. These extend eigenvalue inequalities due toFreede‐Thompsonand Horn for sums of eigenvalues of two Hermitian

ISSN:0025-584X    

DOI:10.1002/mana.19951710113

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractWe consider the problem of complex interpolation of certain Hardy‐type subspaces of Köthe function spaces. For example, suppose thatX0andX1arc Köthe function spaces on the unit circle T. and letHX0andHX1be the corresponding Hardy spaces. Under mild conditions onX0. X1we give a necessary and sufficient condition for the complex interpolation space [HX0. HX1]0to coincide withHX0whereHX0= [H0. H1]0. We develop a very general framework for such results and our methods apply to many more general situations including the vector–valued

ISSN:0025-584X    

DOI:10.1002/mana.19951710114

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractWe show how the geometrical properties of uniform convexity and uniformly non‐

ISSN:0025-584X    

DOI:10.1002/mana.19951710115

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractSommerfeld‐type diffraction problems for a half‐plane with arbitraryn‐th order generalized impedance boundary conditions arc examined in a Sobolev space setting. The corresponding boundary‐transmission problems for the two dimensional Helmholtz equation are shown to be well‐posed in a family of Sobolev spaces with finite energy norms, through a reduction to equivalent systems of boundary integral equations of Wiener‐Hopf type in [L2+(IR)]2. Formulas for the solutions as well as the so‐called edge conditions arc obtained for anyn, by explicit canonical generalized factorization of the presymbols of the associated Wiener

ISSN:0025-584X    

DOI:10.1002/mana.19951710116

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractThe Paper presents the definition of a resurgent a resurgent function of several independent variables. The main properties of the introduced notions are investigated.

ISSN:0025-584X    

DOI:10.1002/mana.19951710117

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19951710118

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractIn § l of this article, we study group‐theoretical properties of some automorphism group Ψ*of the meta‐abelian quotient § of a free pro‐lgroup § of rank two, and show that the conjugacy class of some element of order two of Ψ*is not determined by the action induced on the abelian quotient § of § in the case of § = 2. In § 2 we apply the results to the outer Galois representation § attached to the curveCdeleted one point from an elliptic curveE, and give an example that §cdoes not factor through thel‐adic represent

ISSN:0025-584X    

DOI:10.1002/mana.19951710119

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19951710120

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19951710101

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY