AbstractWe study the differential equation tu′(t) + Au(t) = f(t), 0 < t < ∞, in Banach spaces. We obtain existence and uniqueness theorems for the solutions as well as regularity properties in suitable interpolation spaces
AbstractThe spectral theory of operators in Banach spaces is employed to treat a class of degenerate...
AbstractExistence, uniqueness and regularity results are obtained for an abstract equation of the fo...
AbstractLet (B0, B1) be an interpolation pair of Banach spaces, and let T: Bj → Bj be a bounded line...
AbstractWe study the differential equation tu′(t) + Au(t) = f(t), 0 < t < ∞, in Banach spaces. We ob...
AbstractWe state existence and several properties of the evolution operator relevant to a family {A(...
AbstractWe study existence, uniqueness and regularity of the strict, classical and strong solutions ...
AbstractThis paper is concerned with the study of a large class of linear abstract evolution equatio...
AbstractExistence and asymptotic behavior of solutions are given for the equation u′(t) = −A(t)u(t) ...
AbstractResults of existence, uniqueness, and regularity for strict and classical solutions of linea...
AbstractWe study in this paper the wellposedness and regularity of solutions of evolution equations ...
AbstractBy interpolating between Sobolev spaces we find that many partial differential operators bec...
We provide regularity of solutions to a large class of evolution equations on Banach spaces where th...
AbstractThe linear non-autonomous evolution equation u′(t) − A(t) u(t) = ƒ(t), t ∈ [0, T], with the ...
We prove an existence result for T-periodic solutions to nonlinear evolution equations of the form x...
AbstractWe give an existence result for the evolution equation (Ru)′+Au=f in the space W={u∈V|(Ru)′∈...
AbstractThe spectral theory of operators in Banach spaces is employed to treat a class of degenerate...
AbstractExistence, uniqueness and regularity results are obtained for an abstract equation of the fo...
AbstractLet (B0, B1) be an interpolation pair of Banach spaces, and let T: Bj → Bj be a bounded line...
AbstractWe study the differential equation tu′(t) + Au(t) = f(t), 0 < t < ∞, in Banach spaces. We ob...
AbstractWe state existence and several properties of the evolution operator relevant to a family {A(...
AbstractWe study existence, uniqueness and regularity of the strict, classical and strong solutions ...
AbstractThis paper is concerned with the study of a large class of linear abstract evolution equatio...
AbstractExistence and asymptotic behavior of solutions are given for the equation u′(t) = −A(t)u(t) ...
AbstractResults of existence, uniqueness, and regularity for strict and classical solutions of linea...
AbstractWe study in this paper the wellposedness and regularity of solutions of evolution equations ...
AbstractBy interpolating between Sobolev spaces we find that many partial differential operators bec...
We provide regularity of solutions to a large class of evolution equations on Banach spaces where th...
AbstractThe linear non-autonomous evolution equation u′(t) − A(t) u(t) = ƒ(t), t ∈ [0, T], with the ...
We prove an existence result for T-periodic solutions to nonlinear evolution equations of the form x...
AbstractWe give an existence result for the evolution equation (Ru)′+Au=f in the space W={u∈V|(Ru)′∈...
AbstractThe spectral theory of operators in Banach spaces is employed to treat a class of degenerate...
AbstractExistence, uniqueness and regularity results are obtained for an abstract equation of the fo...
AbstractLet (B0, B1) be an interpolation pair of Banach spaces, and let T: Bj → Bj be a bounded line...
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