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Algorithms for the theory of restrictions of scalar -D systems to proper subspaces of R-n

DSpace at IIT Bombay

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Title Algorithms for the theory of restrictions of scalar -D systems to proper subspaces of R-n
 
Creator PAL, D
PILLAI, HK
 
Subject FINITE-DIMENSIONAL BEHAVIORS
LINEAR-SYSTEMS
CONSTANT-COEFFICIENTS
PARTIAL DIFFERENCE
EQUATIONS
STABILITY
Systems of PDEs
Restriction ideals
Computational algorithms
 
Description In this paper, we study the restrictions of solutions of a scalar system of PDEs to a proper subspace of the domain . The object of study is associated with certain intersection ideals. In the paper, we provide explicit algorithms to calculate these intersection ideals. We next deal with when a given subspace is "free" with respect to the solution set of a system of PDEs-this notion of freeness is related to restrictions and intersection ideals. We again provide algorithms and checkable algebraic criterion to answer the question of freeness of a subspace. Finally, we provide an upper bound to the dimension of free subspaces that can be associated with the solution set of a system of PDEs.
 
Publisher SPRINGER
 
Date 2016-01-14T12:13:54Z
2016-01-14T12:13:54Z
2015
 
Type Article
 
Identifier MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 26(2SI)439-457
0923-6082
1573-0824
http://dx.doi.org/10.1007/s11045-014-0285-4
http://dspace.library.iitb.ac.in/jspui/handle/100/17469
 
Language en