In the framework of the PDE’s algebraic topology, previously introduced by A. Pr´astaro, are considered exotic differential equations, i.e., differential equations admitting Cauchy manifolds N identifiable with exotic spheres, or such that their boundaries ∂N are exotic spheres. For such equations are obtained local and global existence theorems and stability theorems. In particular the smooth (4-dimensional) Poincar´e conjecture is proved. This allows to complete the previous Theorem 4.59 in [75] also for the case n = 4.
Algebraic Topology of Partial Differential Equations
Exotic PDE's / Prastaro, Agostino. - (2014), pp. 471-532. [10.1007/978-1-4939-1124-0].
Exotic PDE's
PRASTARO, Agostino
2014
Abstract
In the framework of the PDE’s algebraic topology, previously introduced by A. Pr´astaro, are considered exotic differential equations, i.e., differential equations admitting Cauchy manifolds N identifiable with exotic spheres, or such that their boundaries ∂N are exotic spheres. For such equations are obtained local and global existence theorems and stability theorems. In particular the smooth (4-dimensional) Poincar´e conjecture is proved. This allows to complete the previous Theorem 4.59 in [75] also for the case n = 4.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
