Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On uniqueness, stability and pointwise estimates in the Cauchy problem for coupled elliptic equations

Author: Philip W. Schaefer
Journal: Quart. Appl. Math. 31 (1973), 321-328
MSC: Primary 35J45
DOI: https://doi.org/10.1090/qam/430523
MathSciNet review: 430523
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Abstract: Results of the kind cited in the title are obtained for the improperly posed Cauchy problem for a system of two coupled elliptic partial differential equations. We assume one stabilizing condition is imposed on one of the dependent variables. The results follow from an a priori inequality which is derived as a consequence of the logarithmic convexity of a suitable functional.

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DOI: https://doi.org/10.1090/qam/430523
Article copyright: © Copyright 1973 American Mathematical Society

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