Add to ORKGWe proved Lq−L ∞ type estimates of the Stokes semigroup in a 2-dimensional exterior domain. Our proof is based on the investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin. 1. Introduction. Let Ω be an unbounded domain in the 2-dimensional Euclidean space R2 having a compact and smooth boundary ∂Ω contained in the ball Bb0 = {x ∈ R2 | |x | ≤ b0}. In (0,∞) × Ω, we consider the nonstationary Stokes initial boundary value problem concerning the velocity field u = u(t, x) = t(u1, u2
In exterior domains of R^3, we consider the differential operator △+(k×x)・▽ with Dirichlet boundary ...
Abstract. We study the Stokes initial boundary value problem with an initial data in a Lorentz space...
We consider the Stokes resolvent problem in a two-dimensional bounded Lipschitz domain $\Omega$ subj...
We proved Lq−L ∞ type estimates of the Stokes semigroup in a 2-dimensional exterior domain. Our proo...
The Stokes semigroup is extended to an analytic semigroup in spaces of bounded functions in an exter...
This is a resume of the paper [l]. We study Liouville theorems for the non-stationary Stokes equatio...
Abstract:- We formulate sufficient conditions for partial uniform boundedness of the analytic semigr...
It is well-known that the Helmholtz decomposition of Lq-spaces fails to exist for certain unbounded ...
We consider the Stokes equations in a class of domains that we will call admissible domains includin...
Let Ω ⊂ ℝn, n ≥ 3, be an exterior domain with smooth boundary. It is shown that the Stokes semigroup...
We give a direct proof for the analyticity of the Stokes semigroup in spaces of bounded functions. T...
1.1 Analyticity of the Stokes semigroup We consider the initial-boundary problem for the Stokes equa...
The Stokes resolvent equations are studied in locally uniform Lp spaces where the domain is an exter...
This paper studies the analyticity of the Stokes semigroup in an infinite cylinder or more generally...
We study the Stokes IBVP,in (0;T)XD,where D enclosed in Rn,n>2,is an exterior domain,assuming that t...
In exterior domains of R^3, we consider the differential operator △+(k×x)・▽ with Dirichlet boundary ...
Abstract. We study the Stokes initial boundary value problem with an initial data in a Lorentz space...
We consider the Stokes resolvent problem in a two-dimensional bounded Lipschitz domain $\Omega$ subj...
We proved Lq−L ∞ type estimates of the Stokes semigroup in a 2-dimensional exterior domain. Our proo...
The Stokes semigroup is extended to an analytic semigroup in spaces of bounded functions in an exter...
This is a resume of the paper [l]. We study Liouville theorems for the non-stationary Stokes equatio...
Abstract:- We formulate sufficient conditions for partial uniform boundedness of the analytic semigr...
It is well-known that the Helmholtz decomposition of Lq-spaces fails to exist for certain unbounded ...
We consider the Stokes equations in a class of domains that we will call admissible domains includin...
Let Ω ⊂ ℝn, n ≥ 3, be an exterior domain with smooth boundary. It is shown that the Stokes semigroup...
We give a direct proof for the analyticity of the Stokes semigroup in spaces of bounded functions. T...
1.1 Analyticity of the Stokes semigroup We consider the initial-boundary problem for the Stokes equa...
The Stokes resolvent equations are studied in locally uniform Lp spaces where the domain is an exter...
This paper studies the analyticity of the Stokes semigroup in an infinite cylinder or more generally...
We study the Stokes IBVP,in (0;T)XD,where D enclosed in Rn,n>2,is an exterior domain,assuming that t...
In exterior domains of R^3, we consider the differential operator △+(k×x)・▽ with Dirichlet boundary ...
Abstract. We study the Stokes initial boundary value problem with an initial data in a Lorentz space...
We consider the Stokes resolvent problem in a two-dimensional bounded Lipschitz domain $\Omega$ subj...