1,721,065 research outputs found
A note on regularizing properties of Ornstein-Uhlenbeck semigroups in infinite dimensions
No full texteds G. Da Prato - L. Tubaro, Lecture Notes in Pure and Appl. Math., 227, Dekker, 2002
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space
No full textHopf bifurcation for nonlinear integro-differential equations in Banach spaces with infinite delay
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Solvability on the real line of a class of linear Volterra integro-differential equations of parabolic type
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Elliptic operators with unbounded drift coefficients and Neumann boundary condition
No full textAbstractWe study the realization AN of the operator A=12Δ−〈DU,D·〉 in L2(Ω,μ) with Neumann boundary condition, where Ω is a possibly unbounded convex open set in RN, U is a convex unbounded function, DU(x) is the element with minimal norm in the subdifferential of U at x, and μ(dx)=cexp(−2U(x))dx is a probability measure, infinitesimally invariant for A. We show that AN is a dissipative self-adjoint operator in L2(Ω,μ). Log-Sobolev and Poincaré inequalities allow then to study smoothing properties and asymptotic behavior of the semigroup generated by AN
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