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Boundary Value Problems
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  • Research Article
  • Open Access

Interior Gradient Estimates for Nonuniformly Parabolic Equations II

Boundary Value Problems20072007:035825

https://doi.org/10.1155/2007/35825

©  Gary M. Lieberman 2007

  • Received: 31 May 2006
  • Accepted: 9 November 2006
  • Published:

Abstract

We prove interior gradient estimates for a large class of parabolic equations in divergence form. Using some simple ideas, we prove these estimates for several types of equations that are not amenable to previous methods. In particular, we have no restrictions on the maximum eigenvalue of the coefficient matrix and we obtain interior gradient estimates for so-called false mean curvature equation.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Large Class

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Authors’ Affiliations

(1)
Department of Mathematics, Iowa State University, Ames, IA 50011, USA

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Copyright

© Gary M. Lieberman 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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