Strong unique continuation property for elliptic systems of normal type in twoindependent variables

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概要

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• We give a result on strong unique continuation property for a certain elliptic system of first order in the two dimensional space. Two coefficient matrices are normal and commutative with each other. We assume, further, that their components are Holder continuous and have continuous first order derivatives except at one point. Without any regularity assumptions on the eigenvalues, we can show the strong unique continuation property for a class of such systems under certain quantitative conditions on the first order derivatives. This result gives an improvement of a work by G. N. Hile and M. H. Protter in a special case.

• 東北大学の論文

著者

• Okaji Takashi

  Division Of Mathematics Graduate School Ofscience Kyoto University

• Okaji Takashi

  Division Of Mathematics Graduate School Of Science Kyoto University

関連論文

• Strong unique continuation property for elliptic systems of normal type in twoindependent variables
• Strong unique continuation property for time harmonic Maxwell equations

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