Exotic n-D’Alembert PDEs and Stability

Agostino Prástaro ()
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Agostino Prástaro: University of Roma “La Sapienza”

Chapter Chapter 36 in Nonlinear Analysis, 2012, pp 571-585 from Springer

Abstract: 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.)

Keywords: d’Alembert PDEs; Integral bordisms in PDEs; Existence of local and global solutions in PDEs; Conservation laws; Crystallographic groups; Exotic spheres; Singular Cauchy problems; Stability; 55N22; 58J32; 57R20; 58C50; 58J42; 20H15; 32Q55; 32S20 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-3498-6_36

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