Homogenisation of Laminated Metamaterials and the Inner Spectrum

This book investigates homogenisation problems for divergence form equations with rapidly sign-changing coefficients. Focusing on problems with piecewise constant, scalar coefficients in a (d-dimensional) crosswalk type shape, we will provide a limit procedure in order to understand potentially ill-...

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Kaituhi matua: Waurick, Marcus (Author)
Kaituhi rangatōpū: SpringerLink (Online service)
Hōputu: Tāhiko īPukapuka
Reo:Ingarihi
I whakaputaina: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Putanga:1st ed. 2025.
Rangatū:SpringerBriefs in Mathematics,
Ngā marau:
Urunga tuihono:https://doi.org/10.1007/978-3-032-01928-8
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Rārangi ihirangi:
  • Chapter 1. Introduction
  • Chapter 2. The main theorems
  • Chapter 3. Abstract divergence-form operators
  • Chapter 4. The one-dimensional problem – well-posedness
  • Chapter 5. Sturm–Liouville problems with indefinite coeffcients
  • Chapter 6. The higher-dimensional problem – preliminaries
  • Chapter 7. The higher dimensional problem – well-posedness
  • Chapter 8. The inner spectrum in d dimensions
  • Chapter 9. Classical G-convergence
  • Chapter 10. Holomorphic G-convergence
  • Chapter 11. The one-dimensional problem – homogenisation
  • Chapter 12. The higher-dimensional problem – homogenisation
  • Chapter 13. Proofs
  • Chapter 14. Conclusion.