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

ANNEXE A: An Auxiliary System

Author(s): Costica MOROSANU

Pp: 283-293 (11)

DOI: 10.2174/978160805350611201010283

* (Excluding Mailing and Handling)


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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