AbstractA generation theorem of semigroups of locally Lipschitz operators on a subset of a real Banach space is given and applied to the problem of the well-posedness of the Carrier equation utt−κ(‖u‖2)Δu+γ|ut|p−1ut=0 in Ω×(0,∞) with acoustic boundary condition, where p>2 and Ω is a bounded domain in an arbitrary dimensional space
We prove the existence and uniqueness of global solutions to the mixed problem for the Carrier equat...
We study bidomain equations that are commonly used as a model to represent the electrophysiological ...
et X be a Banach space. A one parameter family S(t) (t ≥ 0) of bounded linear operators on X is a st...
AbstractA generation theorem of semigroups of locally Lipschitz operators on a subset of a real Bana...
AbstractIn this paper we introduce the notion of semigroups of locally Lipschitz operators which pro...
In this note we shall give a simple proof for a part of proof of T. Matsumoto and N. Tanaka [6] Theo...
We consider the elliptic differential operator in divergence form associated with Dirichlet boundary...
AbstractThis paper is devoted to an approximation theorem of semigroups of Lipschitz operators which...
Let X, U and Z be Banach spaces such that Z in X (with continuous and dense embedding), L : Z ->X b...
We consider in [1,2] a model homogeneous Dirichlet problem for a diffusion equation on a Lipschitz s...
Abstract. We study the analyticity of the semigroup generated by the Stokes operator equipped with N...
AbstractWe investigate the relationship between abstract linear evolution equations of heat, wave, a...
AbstractThe Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+ƒ(t)u(0) = x for a (non-d...
AbstractWe consider the semilinear Volterra integrodifferential equation u′ (t) + A(t)u(t) = ∫t0t a(...
AbstractConsider the abstract linear functional equation (FE) (Dx)(t) = f(t) (t ⩾ 0), x(t) = ϑ(t) (t...
We prove the existence and uniqueness of global solutions to the mixed problem for the Carrier equat...
We study bidomain equations that are commonly used as a model to represent the electrophysiological ...
et X be a Banach space. A one parameter family S(t) (t ≥ 0) of bounded linear operators on X is a st...
AbstractA generation theorem of semigroups of locally Lipschitz operators on a subset of a real Bana...
AbstractIn this paper we introduce the notion of semigroups of locally Lipschitz operators which pro...
In this note we shall give a simple proof for a part of proof of T. Matsumoto and N. Tanaka [6] Theo...
We consider the elliptic differential operator in divergence form associated with Dirichlet boundary...
AbstractThis paper is devoted to an approximation theorem of semigroups of Lipschitz operators which...
Let X, U and Z be Banach spaces such that Z in X (with continuous and dense embedding), L : Z ->X b...
We consider in [1,2] a model homogeneous Dirichlet problem for a diffusion equation on a Lipschitz s...
Abstract. We study the analyticity of the semigroup generated by the Stokes operator equipped with N...
AbstractWe investigate the relationship between abstract linear evolution equations of heat, wave, a...
AbstractThe Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+ƒ(t)u(0) = x for a (non-d...
AbstractWe consider the semilinear Volterra integrodifferential equation u′ (t) + A(t)u(t) = ∫t0t a(...
AbstractConsider the abstract linear functional equation (FE) (Dx)(t) = f(t) (t ⩾ 0), x(t) = ϑ(t) (t...
We prove the existence and uniqueness of global solutions to the mixed problem for the Carrier equat...
We study bidomain equations that are commonly used as a model to represent the electrophysiological ...
et X be a Banach space. A one parameter family S(t) (t ≥ 0) of bounded linear operators on X is a st...
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