Analysis and Optimal Control of Phase-Field Transition System: Fractional Steps Methods


Costica Morosanu

DOI: 10.2174/97816080535061120101
eISBN: 978-1-60805-350-6, 2012
ISBN: 978-1-60805-647-7

Indexed in: Book Citation Index, Science Edition, Scopus, EBSCO.

All developments in mathematics and computer science facilitate development of industrial applications. This e-book approaches the sub...[view complete introduction]
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ANNEXE A: An Auxiliary System

- Pp. 283-293 (11)



The existence and regularity for the solution of one linear system (auxiliary linear system), having a structure similar with those that appear in the associated approximating schemes to the nonlinear phase-field transition system, it is proved in this Annexe (Theorem A.1). Concerning the methods used in the proof, an essential difference with respect to Chapter 2 consists in that, presently, we make the a priori estimates in L2(Q) in place of Lp(Q). Estimation technique that is used is also different from those used for the rest of the book......

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