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PLANAR IMMERSIONS WITH PRESCRIBED CURL AND JACOBIAN DETERMINANT ARE UNIQUE

Part of: Partial differential equations

Published online by Cambridge University Press:  08 October 2021

ANTHONY GRUBER Open the ORCID record for ANTHONY GRUBER [Opens in a new window]
ANTHONY GRUBER*
Affiliation:
Department of Scientific Computing, Florida State University, 400 Dirac Science Library, Tallahassee, FL 32306-4120, USA
*
e-mail: agruber@fsu.edu
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Abstract

We prove that immersions of planar domains are uniquely specified by their Jacobian determinant, curl function and boundary values. This settles the two-dimensional version of an outstanding conjecture related to a particular grid generation method in computer graphics.

Keywords

prescribed curlprescribed Jacobian determinantuniqueness problemgrid generation

MSC classification

Primary: 35A02: Uniqueness problems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 106 , Issue 1 , August 2022 , pp. 126 - 131
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Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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