The authors in [2] have solved the problem of maximal regularity in several spaces of functions, i.e. starting with (finmathcal{M}) and proving that the mild solution u belongs to ℳ.
Abstract: Semiclassical resolvent estimates relate dynamics of a particle scattering problem to regularity and decay of waves in a corresponding wave scattering problem.
Lowe argues that recognizing the ontologically fundamental distinction between substantial universals (natural kinds) and non-substantial universals (properties) accounts for the laws of nature in a manner that, while avoiding the problems of a regularity account, may nonetheless do without Armstrong's second order relation of necessitation, itself a relational universal (Armstrong 1983, 75 110).
The problem of robust global regularity and controllability is considered in Takagi Sugeno (TS) fuzzy descriptor control systems with structured parametric uncertainties.
We are concerned with the problem of real analytic regularity of the solutions of sums of squares with real analytic coefficients.
The problem of the global regularity of the weak solutions of the 3D Boussinesq equations is a big open problem.
There is, however, a related elliptic problem of solving (bar{partial }) with minimal norm, and Demailly asked whether this problem has some small amount of regularity when the metrics of the line bundles in question are singular.
For saturation estimation, an additional stage is developed, in which the pressure and velocity samples are first generated by the sparse grid interpolation and then substituted into the transport equation to solve for the saturation samples, to address the low regularity problem of the saturation.
Lewis (1973) contains a brief but clear and forceful overview of problems with regularity theories.
In virtually every one of his 24 books, V.S. Naipaul returns, with obsessive regularity, to the problem of beginnings -- his own beginnings as an ambitious Indian boy from Trinidad who desperately wanted to become a great writer, and the elusive beginnings of the Asian, African and Caribbean peoples whose displaced histories and native cultures he depicts with trademark ambivalence.
