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Doklady Mathematics

, Volume 74, Issue 2, pp 696–699 | Cite as

Necessary and sufficient conditions for a curve to be an image of the gradient of a C 1 function

  • M. V. Korobkov
  • E. Yu. Panov
Mathematics
  • 17 Downloads

Keywords

Bounded Variation Neighborhood Versus Injective Mapping Differential Relation Arbitrary Continuous Mapping 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    M. Gromov, Partial Differential Relations (Springer-Verlag, Berlin, 1986; Mir, Moscow, 1990).zbMATHGoogle Scholar
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    M. V. Korobkov, Sib. Mat. Zh. 41(1), 118–133 (2000).zbMATHMathSciNetGoogle Scholar
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    M. V. Korobkov and E. Yu. Panov, Mat. Sb. 197(5), 99–124 (2006).Google Scholar
  4. 4.
    E. Yu. Panov, Candidate’s Dissertation in Mathematics and Physics (MGU, Moscow, 1991).Google Scholar
  5. 5.
    S. Müller, Variational Models for Microstructure and Phase Transitions (Max-Plank-Inst. Math. Naturwiss, Leipzig, 1998); http://www.mis.mpg.de/jump/publications.html.Google Scholar
  6. 6.
    J. Malý, Real Anal. Exchange 22(1), 167–173 (1996/1997).zbMATHMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • M. V. Korobkov
    • 1
  • E. Yu. Panov
    • 2
  1. 1.Sobolev Institute of Mathematics, Siberian DivisionRussian Academy of SciencesNovosibirskRussia
  2. 2.Novgorod State UniversityNovgorod the GreatRussia

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