Boundedness in the higher‐dimensional attraction‐repulsion chemotaxis system involving tensor‐valued sensitivity with saturation
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7049
Abstract: In this paper, we consider the attraction‐repulsion parabolic‐parabolic‐parabolic model with nonlinear diffusion ut=∇·(D(u)∇u)−∇·(uS1(x,u,v)∇v)+∇·(uS2(x,u,w)∇w)+ξu−μu2,x∈Ω,t>0,vt=Δv+αu−βv,x∈Ω,t>0,wt=Δw+γu−δw,x∈Ω,t>0, in a smooth bounded domain Ω⊂ℝn(n≥2) , where α, β, γ, δ, μ are given positive parameters and ξ ≥ 0. The function D satisfies D(u) ≥ CDum − 1 for all… read more here.
Keywords: higher dimensional; boundedness higher; attraction; attraction repulsion ... See more keywords
Boundedness for Higher Order Commutators of Fractional Integrals on Variable Exponent Herz–Morrey Spaces
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DOI: 10.1007/s00009-017-1002-y
Abstract: In this paper, the boundedness for higher order commutators of fractional integrals is obtained on variable exponent Herz–Morrey spaces $$ M\dot{K}_{p, q(\cdot )}^{\alpha (\cdot ), \lambda }(\mathbb {R}^{n})$$MK˙p,q(·)α(·),λ(Rn) applying some properties of variable exponent and… read more here.
Keywords: fractional integrals; higher order; commutators fractional; boundedness higher ... See more keywords
Explicit strong boundedness for higher rank symplectic groups
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DOI: 10.1016/j.jalgebra.2022.03.041
Abstract: Abstract. This paper gives an explicit argument to show strong boundedness for Sp 2n (R) for R a ring of S-algebraic integers or a semi-local ring. This gives a quantitative version of the abstract result… read more here.
Keywords: higher rank; boundedness; rank symplectic; strong boundedness ... See more keywords