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MAXIMAL PSEUDOCOMPACT AND MAXIMAL R-CLOSED SPACES
(UNIV HOUSTONHOUSTON, 2013-08-02)
In this paper a space X is pseudocompact if it is Tychonoff and every real-valued continuous function on X is bounded. We obtain conditions under which a Tychonoff space is maximal pseudocompact and study conditions under ...
Maximal L-p-regularity for fractional differential equations on the line
(Wiley, 2017)
We characterize the L-p-maximal regularity of an abstract fractional differential equation with delay on the Lebesgue spaces. The method is based on the theory of operator-valued Fourier multipliers and weighted Sobolev ...
Maximal Lp-regularity for fractional differential equations on the line
(Wiley-VCH Verlag, 2017)
© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimWe characterize the Lp -maximal regularity of an abstract fractional differential equation with delay on the Lebesgue spaces. The method is based on the theory of operator-valued ...
Boundary of Maximal Monotone Operators Values
(Springer, 2020)
We characterize in Hilbert spaces the boundary of the values of maximal monotone operators, by means only of the values at nearby points, which are close enough to the reference point but distinct of it. This allows to ...
Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators
(Springer Verlag, 2019)
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature and Mathematical Optimization Society. We study the behavior of the trajectories of a second-order differential equation with vanishing damping, governed by the ...
Regularity of maximal functions associated to a critical radius function
(Unión Matemática Argentina, 2019-11)
In this work we obtain boundedness on BMO and Lipschitz type spaces in the context of a critical radius function. We deal with a local maximal operator and a maximal operator of a one parameter family of operators with ...
Periodic solutions of a fractional neutral equation with finite delay
(Springer Basel, 2014)
In this paper, we prove the maximal regularity property of an abstract fractional differential
equation with finite delay on periodic Besov and Triebel–Lizorkin spaces and use these results to guarantee
the existence and ...
Non-convex sweeping processes involving maximal monotone operators
(Taylor & Francis, 2017)
By using a regularization method, we study in this paper the global existence and uniqueness property of a new variant of non-convex sweeping processes involving maximal monotone operators. The system can be considered as ...