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Exotic n-D’Alembert PDEs and Stability

In: Nonlinear Analysis

Author

Listed:
  • Agostino Prástaro

    (University of Roma “La Sapienza”)

Abstract

In the framework of the PDE’s algebraic topology, previously introduced by A. Prástaro, exotic n-d’Alembert PDEs are considered. These are n-d’Alembert PDEs, (d′A) n , admitting Cauchy manifolds N⊂(d′A) n identifiable with exotic spheres, or such that ∂N can be exotic spheres. For such equations, local and global existence theorems and stability theorems are obtained. (See also Prástaro in arXiv:1011.0081 , 2010.)

Suggested Citation

  • Agostino Prástaro, 2012. "Exotic n-D’Alembert PDEs and Stability," Springer Optimization and Its Applications, in: Panos M. Pardalos & Pando G. Georgiev & Hari M. Srivastava (ed.), Nonlinear Analysis, edition 127, chapter 0, pages 571-585, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-3498-6_36
    DOI: 10.1007/978-1-4614-3498-6_36
    as

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