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Well-Posedness and Regularity Results for Fractional Wave Equations with Time-Dependent Coefficients
Fractional wave equations with time-dependent coefficients are natural generations of classical wave equations which can be used to characterize propagation of wave in inhomogeneous media with frequency-dependent power-law behavior.
Li Peng, Yong Zhou
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We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coefficients have a “butterfly support”: this allows
Leonardi Salvatore +3 more
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Proposals for evaluating the regularity of a scientist'sresearch output [PDF]
Evaluating the career of individual scientists according to their scientific output is a common bibliometric problem. Two aspects are classically taken into account: overall productivity and overall diffusion/impact, which can be measured by a plethora ...
Franceschini, Fiorenzo +3 more
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Regularity, length of the cycle and duration of menstrual flow are a reflection of women health. The purpose of the research was to assess the relationships between socioeconomic status, cycle length, duration of menses, regularity and dysmenorrhea.
Nieczuja-Dwojacka Joanna +3 more
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Quasi-randomness and algorithmic regularity for graphs with general degree distributions [PDF]
We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to express how much a given graph “resembles” a random one.
Schacht, Mathias +5 more
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Maximal Product of Graphs under Vague Environment
Graph models are found everywhere in natural and human made structures, including process dynamics in physical, biological and social systems. The product of graphs are appropriately used in several combinatorial applications and in the formation of ...
Behnaz Sheikh Hoseini +4 more
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On the sub–diffusion fractional initial value problem with time variable order
We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a ...
Cuesta Eduardo +3 more
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On the Duality of Regular and Local Functions
In this paper, we relate Poisson’s summation formula to Heisenberg’s uncertainty principle. They both express Fourier dualities within the space of tempered distributions and these dualities are also inverse of each other.
Jens V. Fischer
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A new characterization of fuzzy ideals of semigroups and its applications
In this paper, we develop a new technique for constructing fuzzy ideals of a semigroup. By using generalized Green's relations, fuzzy star ideals are constructed.
Chunhua Li, Baogen Xu, Huawei Huang
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An efficient sparse regularity concept [PDF]
Let A be a 0/1 matrix of size m×n, and let p be the density of A (i.e., the number of ones divided by m · n). We show that A can be approximated in the cut norm within ε · mnp by a sum of cut matrices (of rank 1), where the number of summands is ...
Cooper, Colin +8 more
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