Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains
Mathematics, 2021 In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity.
Toshiaki Hishida
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Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain [PDF]
Journal of Mathematical Analysis and Applications, 2017 In this paper we consider the initial-boundary value problem for the heat, damped wave, complex-Ginzburg-Landau and Schr"odinger equations with the power type nonlinearity $|u|^p$ with $p in (1,2]$ in a two-dimensional exterior domain. Remark that $2=1+2/
M. Ikeda, M. Sobajima
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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Darboux Equations in Exterior Domains [PDF]
Methods and Applications of Analysis, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Birkhäuser Boston.Some direct segregated systems of boundary–domain integral equations (LBDIEs) associated with the mixed
Mikhailov, SE +5 more
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Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain
Journal of Differential Equations, 2019 We consider the equations for a viscous, compressible, radiative and reactive gas (pressure P = R ρ θ + a θ 4 / 3 , internal energy e = c v θ + a θ 4 / ρ ) over an unbounded exterior domain in R n , where n ≥ 2 is the space dimension.
Yongkai Liao, Tao Wang, Hui-Jiang Zhao
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Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]
, 2011 This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko, +11 more
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Biharmonic problem in exterior domains
Comptes Rendus. Mathématique, 2003 We study here a biharmonic equation in an exterior domain of ℝ n . We give in L p
Amrouche, Chérif, Fontes, Mathieu
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Positive evanescent solutions of singular elliptic problems in exterior domains
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We investigate the existence of positive solutions for the following class of nonlinear elliptic problems \[\operatorname{div}(a(\|x\|)\nabla u(x))+f(x,u(x))-(u(x))^{-\alpha}\|\nabla u(x)\|^{\beta}+g(\|x\|)x\cdot\nabla u(x)=0,\] where $x\in\mathbb{R}^{n}$
Aleksandra Orpel
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Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain
Axioms, 2023 This work explores the possibility that iterative classes of elliptic equations have both single and coupled positive radial solutions. Our approach is based on using the well-known Guo–Krasnoselskii and Avery–Henderson fixed-point theorems in a Banach ...
Xiaoming Wang +3 more
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