Existence and uniqueness results in weighted spaces for Dirichlet problem in unbounded domains
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DOI: 10.1007/s11587-019-00465-9
Abstract: We study the Dirichlet problem for a second order linear elliptic partial differential equation with discontinuous coefficients in unbounded domains. We establish an existence and uniqueness result. read more here.
Keywords: dirichlet problem; unbounded domains; existence uniqueness; uniqueness results ... See more keywords
Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains
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DOI: 10.1016/j.apnum.2020.05.017
Abstract: Abstract Modeling an infinite domain arises while simulating physical applications frequently. It is like attempting to model the effects and properties of the ocean in a bucket. In this paper, we develop a spectral Galerkin… read more here.
Keywords: exponential jacobi; unbounded domains; galerkin method;
Decay of solutions for 2D Navier–Stokes equations posed on Lipschitz and smooth bounded and unbounded domains
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DOI: 10.1016/j.jde.2018.12.010
Abstract: Abstract Initial–boundary value problems for 2D Navier–Stokes equations posed on bounded and unbounded rectangles as well as on bounded and unbounded smooth domains were considered. The existence and uniqueness of regular global solutions in bounded… read more here.
Keywords: stokes equations; decay solutions; unbounded domains; bounded unbounded ... See more keywords
Monotonicity of positive solutions for nonlocal problems in unbounded domains
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DOI: 10.1016/j.jfa.2021.109187
Abstract: Abstract In this paper, we consider the following problem { ( − Δ ) p s u ( x ) = f ( u ) , u ( x ) > 0 in Ω ,… read more here.
Keywords: monotonicity positive; positive solutions; solutions nonlocal; nonlocal problems ... See more keywords
Invariant measures of fractional stochastic delay reaction–diffusion equations on unbounded domains
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DOI: 10.1088/1361-6544/ac0125
Abstract: In this paper, existence of invariant measure is mainly investigated for a fractional stochastic delay reaction–diffusion equation defined on unbounded domains. We first establish the mean-square uniform smallness of the tails of the solutions in… read more here.
Keywords: delay reaction; unbounded domains; stochastic delay; fractional stochastic ... See more keywords