Browsing by Author "Weinberger, H.F."
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Item Inequalities between Dirichlet and Neumann Eigenvalues(1985) Levine, H.A.; Weinberger, H.F.Item A Necessary Condition for Decentralizability and an Application to Intemporal Allocation(1987) Hurwicz, Leonid; Weinberger, H.F.Item On Metastable Patterns in Parabolic Systems(1985) Weinberger, H.F.Item On the Edge Singularities of a Composite Conducting Medium(1985) Sanchez-Palencia, E.; Weinberger, H.F.Item Optimal Numerical Approximation of a Linear Operator(1983) Weinberger, H.F.Many linear problems of numerical analysis can be formulated in the following way: One is given a set of n linear data Nu = and a bound for the norm ||u||B of an otherwise unknown element of u of a hilbert space B. One wishes to find a best approximation to the element Su, where S is a bounded linear operator from B to another Hilbert space . For example, Su may be the solution of an ordinary or partial differential equation with right-hand side, initial data, or boundary data u.Item A Simple System with a Continuum of Stable Inhomogeneous Steady States(1982) Weinberger, H.F.The system ut = {(1 + v)}xx + (R1 - au - bv)u vt = (R2 - bu - av)v {(1 + u)}xx = 0 at x = 0 and x = 1 with 1/2 (a/b + b/a) < R1/R2 < a/b and > a(a2 - b2) / 2abR1 - (a2 + b2) R2 was considered by M. Mimura [2] as a model for the population densities of two competing species, one of which increases its migration rate in response to crowding by the other species. It is a special case of the model of N. Shigesada, K. Kawasaki, and E. Teramoto [3].Item Some Remarks on Invariant Sets for Systems(1987) Weinberger, H.F.Item The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains(1988-03) Kishimoto, Kazuo; Weinberger, H.F.