Schauder type estimates of linearized Mullins-Sekerka problem

Feiyao Ma; Lihe Wang

doi:10.3934/cpaa.2012.11.1037

Article Contents

2012, Volume 11, Issue 3: 1037-1050. Doi: 10.3934/cpaa.2012.11.1037

This issue Previous Article Carleman estimates for the Schrödinger operator and applications to unique continuation Next Article A faithful symbolic extension

Schauder type estimates of linearized Mullins-Sekerka problem

Feiyao Ma^1, and
Lihe Wang^2,

1.
Department of Mathematics, Ningbo University, Ningbo, Zhejiang, 315211
2.
Department of Mathematics, University of Iowa, Iowa City, IA 52242

Received: September 30, 2010

Revised: April 30, 2011

Published: April 2012

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Abstract

In this paper we obtain a Caccioppoli type estimate for the model of the linearized Mullins-Sekerka equations by a new technique, then we use this estimate to derive it's Schauder type estimates by polynomial approximation method.

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Mathematics Subject Classification: Primary: 35B65, 35R35; Secondary: 35H99.

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References

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