Sentence examples for parabolic of from inspiring English sources

If P is a percuspidal parabolic of G with unipotent radical N and if χ is a non-trivial unitary character of N such that χ(Γ ∩ N) = 1 then a meromorphic family of functions M v) on gG / G that satisfy all of the conditions in the definition of automorphic form except for the condition of moderate growth is constructed.

Let t = type ( P ) be the type of P. Let Par t ( H ′ ) be the R -scheme of parabolic subgroups of H ′ of type t.

Given a type t, the scheme Par t ( G ) of parabolic subgroups of G of type t is also smooth and projective over X (ibid. cor.3.6).

We note that the Campanato spaces have been widely used for the discussion of partial regularity of solutions of parabolic systems of second order and fourth order.

By Lemma 3.4, Z H ( S ′ ) is a Levi subgroup of a parabolic subgroup of P ′ of H.

Consider the R n –scheme Y = H / P of parabolic subgroups of type t ( P ).

We denote by Par ( G ) the X –scheme of parabolic subgroup of G.

For example, one might compare the family, LIN, of linear equations (of the form y = a + bx) with the family, PAR, of parabolic equations (of the form y = a + bx + cx2).

Also it exchanges minimal parabolics of H with minimal parabolics of H s c.

The method relies on the computation of local parabolic reconstructions of the interface.

In this paper we will study the time almost periodic viscosity solutions of nonlinear parabolic equations of the form (1.1).