Regularity of solutions to coercive and self-controlling viscoplastic problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:386

Article

Kaminski, Przemyslaw

关键词: Viscoplasticity;    Regularity of solutions;    Finite difference method;    Monotone operators;   

DOI  :  10.1016/j.jmaa.2011.08.005

来源: Elsevier

【 摘 要 】

We prove higher regularity of solutions to viscoplastic problems. The main idea is to use the finite difference method, which allows us to cancel the monotone nonlinearities. Our main assumption is that velocity is in L-2(H-1). This is true for all coercive and some special (for example linear self-controlling) non-coercive models. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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