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Assume that T ∗ > 0 is the maximal time of existence.
Suppose (T^ge T_) is the maximal time of existence.
This proves that the maximal time of existence must be finite.
Assume that T ⋆ is the maximal time of existence of the solution to problem (1.4 - 1.5).
This contradicts the assumption that T ∗ is the maximal time of existence.
which contradicts the fact that T ⋆ is the maximal time of existence of the solution to problem (1.4 - 1.5).
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Assuming that one of the maximal times of existence is finite, we prove that the Sobolev norm of each of these solutions is bounded in an open neighborhood of it by using the I-method (see e.g. [4]).
These additional data help to constrain a maximal time for the colonization of land by arthropods.
To control for diurnal variation in lung function, all tests were to be conducted at approximately the same time of day, defined as a maximal time difference of 90 min or less on any of two study days.
Benefit from thrombolysis is time dependent and treatment must be administered within a maximal time window of 4.5 hours from onset of symptoms [ 14, 15].
Nine subjects of the control group volunteered to have a total of four measurements of metacarpal bone III of the same hand within a maximal time span of three weeks (or three months in one subject).
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