Existence and asymptotic behaviour for the time-fractional Keller-Segel model for chemotaxis
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201700237
Abstract: One of the most important systems for understanding chemotactic aggregation is the Keller–Segel system. We consider the time‐fractional Keller–Segel system of order α∈(0,1). We prove an existence result with small initial data in a class… read more here.
Keywords: asymptotic behaviour; fractional keller; time fractional; keller ... See more keywords
Asymptotic Behaviour of Cuboids Optimising Laplacian Eigenvalues
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DOI: 10.1007/s00020-017-2407-5
Abstract: We prove that in dimension $$n \ge 2$$n≥2, within the collection of unit-measure cuboids in $$\mathbb {R}^n$$Rn (i.e. domains of the form $$\prod _{i=1}^{n}(0, a_n)$$∏i=1n(0,an)), any sequence of minimising domains $$R_k^\mathcal {D}$$RkD for the Dirichlet… read more here.
Keywords: cuboids optimising; asymptotic behaviour; rightarrow infty; laplacian eigenvalues ... See more keywords
Positive Liouville theorem and asymptotic behaviour for (p, A)-Laplacian type elliptic equations with Fuchsian potentials in Morrey space
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DOI: 10.1007/s13324-020-00418-8
Abstract: We study Liouville-type theorems and the asymptotic behaviour of positive solutions near an isolated singular point $$\zeta \in \partial \Omega \cup \{\infty \}$$ ζ ∈ ∂ Ω ∪ { ∞ } of the quasilinear elliptic… read more here.
Keywords: asymptotic behaviour; positive liouville; morrey space; liouville theorem ... See more keywords
Asymptotics for periodic systems
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DOI: 10.1016/j.jde.2018.11.028
Abstract: This paper investigates the asymptotic behaviour of solutions of periodic evolution equations. Starting with a general result concerning the quantified asymptotic behaviour of periodic evolution families we go on to consider a special class of… read more here.
Keywords: asymptotics periodic; asymptotic behaviour; periodic systems;
Asymptotic behaviour of randomised fractional volatility models
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2019.27
Abstract: Abstract We study the asymptotic behaviour of a class of small-noise diffusions driven by fractional Brownian motion, with random starting points. Different scalings allow for different asymptotic properties of the process (small-time and tail behaviours… read more here.
Keywords: randomised fractional; asymptotic behaviour; behaviour randomised; volatility ... See more keywords
Nonsmooth integral guiding potentials and asymptotic behaviour of solutions for inclusions with causal multioperators
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DOI: 10.1080/02331934.2019.1696798
Abstract: In the present paper, differential inclusions with a causal multioperator are considered. We apply the method of nonsmooth integral guiding potentials to the study of the problem on the asymptotic behaviour of solutions for such… read more here.
Keywords: asymptotic behaviour; behaviour solutions; inclusions causal; integral guiding ... See more keywords
The asymptotic behaviour of the residual sum of squares in models with multiple break points
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DOI: 10.1080/07474938.2017.1307523
Abstract: ABSTRACT Models with multiple discrete breaks in parameters are usually estimated via least squares. This paper, first, derives the asymptotic expectation of the residual sum of squares and shows that the number of estimated break… read more here.
Keywords: asymptotic behaviour; models multiple; break points; residual sum ... See more keywords
A note on asymptotic behaviour of Mittag–Leffler functions
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DOI: 10.1080/10652469.2017.1399373
Abstract: ABSTRACT In this paper, we give a short note on the asymptotic behaviour of the two parameter Mittag–Leffler function. Useful results are collected for the reader and also explicit estimation formulas for this function are… read more here.
Keywords: mittag leffler; note asymptotic; asymptotic behaviour;
Anisotropic non-local problems: asymptotic behaviour and existence results
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DOI: 10.1080/17476933.2020.1860952
Abstract: We deal with anisotropic singular perturbation problems in some weighted spaces of Sobolev type. The perturbed problems are elliptic, semi-linear and non-local. Using a variational approach, we est... read more here.
Keywords: non local; asymptotic behaviour; anisotropic non; local problems ... See more keywords
Asymptotic behaviour of the third Painlevé transcendents in the space of initial values
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DOI: 10.1090/tran/7899
Abstract: We study the asymptotic behaviour of the solutions of the generic (D (1) 6 -type) third Painlevé equation in the space of initial values as the independent variable approaches infinity (or zero) and show that… read more here.
Keywords: asymptotic behaviour; initial values; third painlev; behaviour third ... See more keywords
Asymptotic behaviour of heavy-tailed branching processes in random environments
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DOI: 10.1214/19-ejp311
Abstract: Consider a heavy-tailed branching process (denoted by $Z_{n}$) in random environments, under the condition which infers that $\mathbb{E}\log m(\xi_{0})=\infty$. We show that (1) there exists no proper $c_{n}$ such that $\{Z_{n}/c_{n}\}$ has a proper, non-degenerate… read more here.
Keywords: tailed branching; heavy tailed; bar; bar bar ... See more keywords