A note on the unique continuation property for fully nonlinear elliptic equations

Agnid Banerjee

doi:10.3934/cpaa.2015.14.623

Article Contents

2015, Volume 14, Issue 2: 623-626. Doi: 10.3934/cpaa.2015.14.623

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A note on the unique continuation property for fully nonlinear elliptic equations

Agnid Banerjee^1,

1.
Department of Mathematics, University of California, Irvine, CA 92697

Received: May 31, 2014

Revised: July 31, 2014

Published: February 2015

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Abstract

We establish the strong unique continuation property for solutions to (1.1) where $F$ satisfies the structural assumptions A)-D). This extends a recent result of Armstrong and Silvestre (see [3]) where $F$ was assumed to be independent of $x$. We also establish an analogous unique continuation result at the boundary along the lines of [1] when the domain is $C^{3, \alpha}$.

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Mathematics Subject Classification: Primary: 35J25; Secondary: 35J70.

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References

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