AbstractIn this paper we consider periodic Dirac operators with skew-adjoint potentials in a large class of weighted Sobolev spaces. We characterize the smoothness of such potentials by asymptotic properties of the periodic spectrum of the corresponding Dirac operators
AbstractThis paper concerns the complex interpolation of Besov spaces and Triebel–Lizorkin spaces wi...
We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrödinger ope...
AbstractLet W and V be centrally symmetric sets in a normed space X. The relative Kolmogorov n-width...
International audienceWe consider a Schrödinger operator with a Hermitian 2x2 matrix-valued potentia...
Consider the Schrödinger equation -y '' +Vy=λy for a complex-valued potential V of period 1 in the w...
AbstractUnder the assumption that V∈L2([0,π];dx), we derive necessary and sufficient conditions in t...
We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a...
International audienceMotivated by the fact that neutral functional integro-differential equations (...
AbstractConsider the Schrödinger equation −y″+v(x)y=λy with periodic complex-valued potential, of pe...
AbstractDefine the periodic weighted operator Ty=−ρ−2(ρ2y′)′ in L2(R, ρ(x)2dx). Suppose a function ρ...
AbstractWe consider an operator Q(V) of Dirac type with a meromorphic potential given in terms of a ...
We study the Nemytskii operators u o |u| and umapsto u^\ub1 in fractional Sobolev spaces H^s(R^n), ...
AbstractLet us consider the Dirac operatorL=iJddx+U,J=100-1,U=0acos2πxacos2πx0,where a≠0 is real, on...
AbstractLet {Lε} be a family of elliptic systems of linear elasticity with rapidly oscillating perio...
In this paper we provide asymptotic expansions of various spectral quantities of Zakharov–Shabat ope...
AbstractThis paper concerns the complex interpolation of Besov spaces and Triebel–Lizorkin spaces wi...
We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrödinger ope...
AbstractLet W and V be centrally symmetric sets in a normed space X. The relative Kolmogorov n-width...
International audienceWe consider a Schrödinger operator with a Hermitian 2x2 matrix-valued potentia...
Consider the Schrödinger equation -y '' +Vy=λy for a complex-valued potential V of period 1 in the w...
AbstractUnder the assumption that V∈L2([0,π];dx), we derive necessary and sufficient conditions in t...
We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a...
International audienceMotivated by the fact that neutral functional integro-differential equations (...
AbstractConsider the Schrödinger equation −y″+v(x)y=λy with periodic complex-valued potential, of pe...
AbstractDefine the periodic weighted operator Ty=−ρ−2(ρ2y′)′ in L2(R, ρ(x)2dx). Suppose a function ρ...
AbstractWe consider an operator Q(V) of Dirac type with a meromorphic potential given in terms of a ...
We study the Nemytskii operators u o |u| and umapsto u^\ub1 in fractional Sobolev spaces H^s(R^n), ...
AbstractLet us consider the Dirac operatorL=iJddx+U,J=100-1,U=0acos2πxacos2πx0,where a≠0 is real, on...
AbstractLet {Lε} be a family of elliptic systems of linear elasticity with rapidly oscillating perio...
In this paper we provide asymptotic expansions of various spectral quantities of Zakharov–Shabat ope...
AbstractThis paper concerns the complex interpolation of Besov spaces and Triebel–Lizorkin spaces wi...
We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrödinger ope...
AbstractLet W and V be centrally symmetric sets in a normed space X. The relative Kolmogorov n-width...
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