And in the original study, a maximal time interval of 8 weeks was adopted.
Assume that u is the solution of (1.2), defined on a maximal time interval ([0,T^)), (0< l< T^), and (u_{varepsilon}) exists on ([0,l]).
Note that our solution ( u, q, η t ) with h = h depends on δ, ε, κ; however, the maximal time interval [ 0, T ] given by (4.7) does not depend on these regularising parameters.
Passage to non-smooth initial data, existence of a regular free boundary, existence of the maximal time interval and uniqueness of the solution are proved in the same way as in the previous papers [10] and [1].
For any u 0 ∈ H r 1, there exists a unique solution u ( t, x ) of the Cauchy problem (1.1 - 1.2) on the maximal time interval [ 0, T ) such that u ( t, x ) ∈ C ( [ 0, T ) ; H r 1 ) and either T = + ∞ (global existence), or T < + ∞ and lim t → T ∥ u ( t, x ) ∥ H r 1 = + ∞ (blow-up).
Assume that (n>4), (ain L^{infty}(0,infty)), (2leqalphaleqfrac{8}{n-4}), and (2leqbetaleqfrac{8}{n-4}). Assume that u is the solution of (1.2) with initial value (u_{0}in H^{2}(R^{n})), defined on a maximal time interval ([0,T^)). Then we have: (1) For any given (0< T< T^), there is a solution (u_{varepsilon}) on ([0,T]).
Let u 0 ( x ), u 1 ( x ) ∈ H 2 be given and u ( x, t ) be a weak solution of problem (1.1 - 1.2 1.1 - 1.2imal existence time interval [ 0, T 0 ), T 0 ≤ + ∞. Assume that the initial data satisfy (3.1).
Although there is a common understanding that the effectiveness of adjuvant therapy diminishes with increasing number of clonogenic cancer cells and that such treatment should begin as soon after surgery as is practical (Kurtz, 2002), the maximal safe time interval between breast cancer surgery and the start of RT has not yet been established.
Ventilation tests, which measure the capacity of the lungs to move air in and out, include maximal voluntary ventilation (MVV), maximal air volume expelled in 12 15 seconds of forced breathing; forced expiratory volume (FEV), maximum air volume expelled in a time interval; and maximal expiratory flow rate (MEFR), maximal flow rate of a single expelled breath, expressed in litres of air per minute.
(b) Resolution indices were determined: Ψmax (maximal PMN counts), Tmax (the time interval when PMN reach maximum), T50 (the time interval corresponding to 50% PMN reduction, or Ψ50) and Ri (resolution interval, the interval between Tmax and T50; see Methods for details).
Resolution indices were calculated as in Schwab et al.13 and Bannenberg et al.,14 where Ψmax is the maximal PMN count, Tmax the time interval when PMN reaches maximum, T50 the time interval corresponding to 50% PMN reduction (or Ψ50), and the Ri is the interval between Tmax and T50.
