120382736
A Note on A Paper of Cellina Concerning Differential Equations in Banach Spaces
118988523
BV Solutions to Evolution Problems with Time-Dependent Domains
In a Hilbert space H we consider evolution problems -du(t) ε A(t)u(t) on some interval [0, T], where every A(t): D(A(t))→ 2 H is a maximal monotone operator, and the correspondence t↦ A(t) is – in a suitable sense – of bounded variation or absolutely continuous.
14672702
On parabolic quasi-variational inequalities and state-dependent sweeping processes
(1.2) C(t, u) ⊂ H is nonempty, closed, and convex for t ∈ [0, T ], u ∈ H. In (1.1), NC(t,u)(x) denotes the normal cone to C(t, u) at x ∈ C(t, u), cf. Section 2 below. We will treat the case of (t, u) 7→ C(t, u) being Lipschitz continuous w.r. to the Hausdorff distance dH with constants L1, L2 ≥ 0, i.e., we require (1.3) dH(C(t, u), C(s, v)) ≤ L1|t− s|+ L2|u− v|, t, s ∈ [0, T ], u, v ∈ H. Note that a solution of (1.1) in particular has to satisfy u(t) ∈ C(t, u(t)) for t ∈ [0, T ].
122068311
Yosida–Moreau Regularization of Sweeping Processes with Unbounded Variation
Lett↦C(t) be a Hausdorff-continuous multifunction with closed convex values in a Hilbert spaceHsuch thatC(t) has nonempty interior for allt. We show that the Yosida–Moreau regularizations of the sweeping process with moving setC(t), i.e., the solutions of[formula]are strongly pointwisely convergent asλ→0+to the solution of the corresponding sweeping process, formally written as[formula]
120017422
Unbounded Solutions in Non-Smooth Dynamical Systems at Resonance
We consider periodically forced non-smooth dynamical systems at resonance, described by differential inclusions, and we show that analogously to the case of ODEs all solutions are unbounded in the (x)-phase plane, if the first Fourier coefficient of the forcing is large compared to a certain quantity related to the nonlinearity.
126071351
On the Uniqueness and Asymptotic Behaviour of Plasma Corners
189767414
Zappa products
121961938
Bilateral semidirect products of transformation semigroups