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1.
Given a spectrum X, we construct a spectral sequence of BP*BP-comodulesthat converges to BP*(LnX), where LnX is the Bousfield localizationof X with respect to the Johnson–Wilson theory E(n)*.The E2-term of this spectral sequence consists of the derivedfunctors of an algebraic version of Ln. We show how to calculatethese derived functors, which are closely related to local cohomologyof BP*-modules with respect to the ideal In+1. 2000 MathematicsSubject Classification 55N22, 55P60, 16W30.  相似文献   

2.
On Weighted Spaces of Harmonic and Holomorphic Functions   总被引:8,自引:0,他引:8  
Weighed spaces of harmonic and holomorphic functions on theunit disc are studied. We show that for all radial weights whichare not decreasing too fast the space of harmonic functionsis isomorphic to c0. For the weights that we consider we completelycharacterize those spaces of holomorphic functions which areisomorphic to c0. Moreover, we determine when the Riesz projection,mapping the weighted space of harmonic functions onto the correspondingspace of holomorphic functions, is bounded.  相似文献   

3.
** Email: anil{at}math.iitb.ac.in*** Email: mcj{at}math.iitb.ac.in**** Email: akp{at}math.iitb.ac.in In this paper, we consider the following control system governedby the non-linear parabolic differential equation of the form: [graphic: see PDF] where A is a linear operator with dense domain and f(t, y)is a non-linear function. We have proved that under Lipschitzcontinuity assumption on the non-linear function f(t, y), theset of admissible controls is non-empty. The optimal pair (u*,y*) is then obtained as the limit of the optimal pair sequence{(un*, yn*)}, where un* is a minimizer of the unconstrainedproblem involving a penalty function arising from the controllabilityconstraint and yn* is the solution of the parabolic non-linearsystem defined above. Subsequently, we give approximation theoremswhich guarantee the convergence of the numerical schemes tooptimal pair sequence. We also present numerical experimentwhich shows the applicability of our result.  相似文献   

4.
In this paper, we extend the population genetics model of Weinberger(1978, Asymptotic behavior of a model in population genetics.Nonlinear Partial Differential Equations and Applications (J.Chadam ed.). Lecture Notes in Mathematics, vol. 648. New York:Springer, pp. 47–98.) to the case where a fraction ofthe population does not migrate after the selection process.Mathematically, we study the asymptotic behaviour of solutionsto the recursion un+1 = Qg[un], where In the above definition of Qg, K is a probabilitydensity function and f behaves qualitatively like the Beverton–Holtfunction. Under some appropriate conditions on K and f, we showthat for each unit vector Rd, there exists a c*g() which hasan explicit formula and is the spreading speed of Qg in thedirection . We also show that for each c c*g(), there existsa travelling wave solution in the direction which is continuousif gf '(0) 1.  相似文献   

5.
Let be a coaction of a locally compact group G on a C*-algebraA. We show that if I is a -invariant ideal in A, then for full crossed products, as Landstadet al. have done for spatial crossed products by coactions.We prove that for suitable coactions, the crossed products ofC0(X)-algebras are again C0(X)-algebras, and the crossed productsof continuous C*-bundles by a locally compact group are againcontinuous C*-bundles. 1991 Mathematics Subject Classification46L55.  相似文献   

6.
We introduce the concept of ‘geometrical spine’for 3-manifolds with natural metrics, in particular, for lensmanifolds. We show that any spine of Lp,q that is close enoughto its geometrical spine contains at least E(p,q) – 3vertices, which is exactly the conjectured value for the complexityc(Lp,q). As a byproduct, we find the minimal rotation distance(in the Sleator–Tarjan–Thurston sense) between atriangulation of a regular p-gon and its image under rotation.  相似文献   

7.
The authors of this paper study positive supersolutions to theelliptic equation -u = c|x|sup in Cone-like domains ofRN (N 2), where p, s R and c > 0. They prove that in thesublinear case p < 1 there exists a critical exponent p*> 1 such that the equation has a positive supersolution ifand only if – < p < p*. The value of p* is determinedexplicitly by s and the geometry of the cone. 2000 MathematicsSubject Classification 35J60 (primary), 35B05, 35R45 (secondary).  相似文献   

8.
We prove an asymptotic estimate for the number of m x n non-negativeinteger matrices (contingency tables) with prescribed row andcolumn sums and, more generally, for the number of integer-feasibleflows in a network. Similarly, we estimate the volume of thepolytope of m x n non-negative real matrices with prescribedrow and column sums. Our estimates are solutions of convex optimizationproblems, and hence can be computed efficiently. As a corollary,we show that if row sums R = (r1, ..., rm) and column sums C= (c1, ..., cn) with r1 + + rm = c1 + + cn = Nare sufficientlyfar from constant vectors, then, asymptotically, in the uniformprobability space of the m x nnon-negative integer matriceswith the total sum N of entries, the event consisting of thematrices with row sums R and the event consisting of the matriceswith column sums C are positively correlated.  相似文献   

9.
In [5] Abbott and Katchalski ask if there exists a constantc < 0 such that for every d 2 there is a snake (cycle withoutchords) of length at least c3d in the product of d copies ofthe complete graph K3. We show that the answer to the abovequestion is positive, and that in general for any odd integern there is a constant cn such that for every d 2 there is asnake of length at least cn nd in the product of d copies ofthe complete graph Kn.  相似文献   

10.
Normal Subgroups of Groups Which Split Over The Infinite Cyclic Group   总被引:1,自引:0,他引:1  
Let G be either a free product with amalgamation A*CB or anHNN group A*C, where all normal subgroups of C are finitelygenerated. Suppose that both A and B have no non-trivial finitelygenerated normal subgroups of infinite indices. We show thatif G contains a finitely generated normal subgroup N which intersectsA or B non-trivially but is not contained in C, then the indexof N in G is finite. 1991 Mathematics Subject Classification20E06.  相似文献   

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