منابع مشابه
On Invertibility of Sobolev Mappings
We prove local and global invertibility of Sobolev solutions of certain differential inclusions which prevent the differential matrix from having negative eigenvalues. Our results are new even for quasiregular mappings in two dimensions.
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1. Introduction. The investigation leading to this publication was motivated by a desire to try to understand the structure of a linear unital mapping ϕ from a unital algebra A of matrices contained in M h (C) into M n (C) which has the property that an invertible element in A is mapped into an invertible in M n (C). The interest in this question was raised by some earlier results on a linear i...
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Given a non-degenerate interval of real numbers D, and a continuous function f : Dk → D with k ≥ 2, we consider a kth-order difference equation of the form yn+1 = f (yn, . . . , yn−k+1); n = 0, 1, 2, . . .. We develop an easy-to-apply necessary condition so that all solutions of the above-mentioned equation are periodic of the same period. c © 2005 Elsevier Ltd. All rights reserved.
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We show that S.Vavasis’ sufficient condition for global invertibility of a polynomial mapping can be easily generalized to the case of a general Lipschitz mapping.
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The present paper deals with the invertibility of mappings that transform simply connected two-dimensional domains into a convex domain. The mapping is de ned by a system of second order elliptic equations. These mappings are used to generate so called structured grids in the physical domain to solve Computational Fluid Dynamics (CFD) problems. These grids are generated by mapping a uniform rec...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1988
ISSN: 0022-247X
DOI: 10.1016/0022-247x(88)90198-9