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An existence and uniqueness result for a strain-adaptive bone remodeling problem

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Publication:611240
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DOI10.1016/j.nonrwa.2010.06.015zbMath1202.35006OpenAlexW2075386670MaRDI QIDQ611240

Kenneth L. jun. Kuttler, José R. Fernández

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.06.015


zbMATH Keywords

Banach fixed point theoremconvolution operators


Mathematics Subject Classification ID

Biomechanics (92C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)


Related Items (1)

Numerical analysis of a bone remodeling model with damage



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Numerical analysis of a strain-adaptive bone remodelling problem
  • Bone remodelling. I: Theory of adaptive elasticity
  • Bone remodeling. II: Small strain adaptive elasticity
  • Analysis of a bone remodeling model
  • Existence and Uniqueness of a Solution to an Adaptive Elasticity Model
  • Asymptotic Model of a Nonlinear Adaptive Elastic Rod
  • Shape Analysis of an Adaptive Elastic Rod Model


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