An inverse problem for an inhomogeneous conformal Killing field equation
Author:
Ziqi Sun
Journal:
Proc. Amer. Math. Soc. 131 (2003), 15831590
MSC (2000):
Primary 35R30, 53C21
Published electronically:
December 16, 2002
MathSciNet review:
1949889
Fulltext PDF Free Access
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Abstract: Let be a Riemannian metric defined on a bounded domain with boundary and let be a vector field on satisfying . We show that if is a gradient field of a solution to the equation on , then both inner products and are uniquely determined by the restriction of the tensor to the gradient field , where is the Lie derivative of the metric tensor under the vector field and . This work solves a problem related to an inverse boundary value problem for nonlinear elliptic equations.
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Additional Information
Ziqi Sun
Affiliation:
Department of Mathematics, Wichita State University, Wichita, Kansas 672600033
Email:
ziqi.sun@wichita.edu
DOI:
http://dx.doi.org/10.1090/S0002993902069733
PII:
S 00029939(02)069733
Received by editor(s):
January 8, 2002
Published electronically:
December 16, 2002
Communicated by:
David S. Tartakoff
Article copyright:
© Copyright 2002
American Mathematical Society
