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To verify our result, the following basic property of asymptotical regularity is required; also cf. [6], Proposition 2.1] in a topological vector space.
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Moreover, even if regularity were required, Davidson argued, it would not matter how it came about; communication would be possible whether or not the required regularity was a product of normative attitudes (cf. Davidson 1994; Glüer 2013 provides a survey of these discussions).
This measure has been widely used in a range of biological applications in which quantitative descriptions of data regularity are required.
We remark that to establish the viscosity theory certain semi-regularity is required for semisolutions, as introduced in (Ekren et al. 2016a; 2016a).
The main peculiarity of the results proved in [1] resides in the light regularity which is required for F and f.
This reconnects the theory presented here to the classical Calderón Zygmund theory, where VMO-regularity of coefficients is required to establish integrability estimates related to estimate (32); see for instance [9].
An interesting question is how much regularity on the initial value is required such that a scheme can be convergent of second order in time.
We note that the assumption of Hölder continuity on the coefficients (A_{i}^{alpha}) is required for those regularity results of sub-elliptic systems mentioned above.
The purpose (as yet to be fully tested) is to eliminate the time consuming and repetitive regularity with which ministries are required to prepare, ab initio, complex documentation to meet the distinct requirements of each individual putative health sector donor.
We next aim to strengthen the spatial regularity of the solution (6), which will be required later on.
For example, if, clinically, only once weekly readings are required then Florence can be 'instructed' to only send prompts at this regularity.
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