Afterwards, in Sections 2 and 3, by a similar method to [1], [2], we give results on the regularity of problems with initial condition t = h for Schrödinger systems in domains with conical points.
We will derive in this section the maximal regularity properties of problem (4.1).
In this section, we derive the maximal regularity properties of problem (1.7).
In this paper, we establish the separability properties of the problem (1.1) and the maximal regularity of Cauchy problem for parabolic CDOE.
The maximal regularity of this problem in mixed L p norms is derived.
Applying Theorem 2.1 we establish the maximal regularity of the problem (3.1) in the mixed norm Z.
Considering the regularity of the problem, the asymptotic behavior of the two processes shall be the same, as we shall see in what follows.
Therefore, much research has focused on developing computationally efficient methods, by either exploiting the regularity of the problem geometry in the direction along the track or assuming a simplified track structure.
According to the well known Lagrange multipliers rule (and assuming the C 1 regularity of the problem), if x∈M is optimal then there exists a nontrivial couple ((psi,psi ^{0}) in mathbb {R}^{n} times mathbb {R} ) such that psi.{dE}_{x_{0},t_{f}} u)+psi^{0} {dC}_{t_{f}} u)=0, (4).
