In Search of a Workable Auxiliary Condition for Authority Arguments

Author(s):  
Hans V. Hansen
Keyword(s):  
2018 ◽  
Vol 19 (6) ◽  
pp. 1083-1086
Author(s):  
Maciej Michnej

This article presents a synthetic analysis of planning documents of national character as well as EU documents in the context of the provisions included that may constitute an auxiliary condition for the development of the Sustainable Urban Mobility Plan.


1977 ◽  
Vol 14 (02) ◽  
pp. 399-404 ◽  
Author(s):  
M. Frank Norman

Let {XN (t), t ≧ 0}, N = 1, 2, … be a sequence of continuous-parameter Markov processes, and let TN (t)f(x) = Ex [f(XN (t))]. Suppose that limN→∞ T N (t)f(x)= T(t)f(x), and that convergence is uniform over x and over t ∈ [0, K] for all K < ∞. When is convergence uniform over t ∈ [0, ∞)? Questions of this type are considered under the auxiliary condition that T(t)f(x) converges uniformly over x as t → ∞. A criterion for such ergodicity is given for semigroups T(t) associated with one-dimensional diffusions. The theory is illustrated by applications to genetic models.


1947 ◽  
Vol 2 (6) ◽  
pp. 199-204 ◽  
Author(s):  
Satio Hayakawa ◽  
Yonezi Miyamoto ◽  
Sin-itiro Tomonaga

1947 ◽  
Vol 2 (6) ◽  
pp. 172-183 ◽  
Author(s):  
Satio Hayakawa ◽  
Yonezi Miyamoto ◽  
Sin-itiro Tomonaga

Author(s):  
K. A. Ames ◽  
L. E. Payne ◽  
P. W. Schaefer

We study a class of initial-boundary-value problems for which an auxiliary condition of the form is prescribed. We determine bounds on an energy expression by means of differential inequalities and derive pointwise bounds for the solution and its gradient by use of a parabolic maximum principle.


1977 ◽  
Vol 14 (2) ◽  
pp. 399-404 ◽  
Author(s):  
M. Frank Norman

Let {XN(t), t ≧ 0}, N = 1, 2, … be a sequence of continuous-parameter Markov processes, and let TN(t)f(x) = Ex[f(XN(t))]. Suppose that limN→∞TN(t)f(x)= T(t)f(x), and that convergence is uniform over x and over t ∈ [0, K] for all K < ∞. When is convergence uniform over t ∈ [0, ∞)? Questions of this type are considered under the auxiliary condition that T(t)f(x) converges uniformly over x as t → ∞. A criterion for such ergodicity is given for semigroups T(t) associated with one-dimensional diffusions. The theory is illustrated by applications to genetic models.


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