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It is suggested by our method that most of the quadratic algebras for all St¨ ackel equivalence classes of 3D second order quantum superintegrable systems on conformally flat
For instance, Racke & Zheng [21] show the existence and uniqueness of a global solution to the Cahn-Hilliard equation with dynamic boundary conditions, and later Pruss, Racke
Inside this class, we identify a new subclass of Liouvillian integrable systems, under suitable conditions such Liouvillian integrable systems can have at most one limit cycle, and
Thus, we use the results both to prove existence and uniqueness of exponentially asymptotically stable periodic orbits and to determine a part of their basin of attraction.. Let
Our method of proof can also be used to recover the rational homotopy of L K(2) S 0 as well as the chromatic splitting conjecture at primes p > 3 [16]; we only need to use the
The proof uses a set up of Seiberg Witten theory that replaces generic metrics by the construction of a localised Euler class of an infinite dimensional bundle with a Fredholm
In addition, we prove a (quasi-compact) base change theorem for rigid etale cohomology and a comparison theorem comparing rigid and algebraic etale cohomology of algebraic
Key words and phrases: representable functor among varieties of algebras, initial representable func- tor, colimit of representable functors, final coalgebra, limit of coalgebras;