Properties of attainable sets of evolution inclusions and control systems of subdifferential type.
Purely imaginary eigenvalues of operator semigroups.
Regularity for entropy solutions of parabolic p-Laplacian type equations.
In this note we give some summability results for entropy solutions of the nonlinear parabolic equation ut - div ap (x, ∇u) = f in ] 0,T [xΩ with initial datum in L1(Ω) and assuming Dirichlet's boundary condition, where ap(.,.) is a Carathéodory function satisfying the classical Leray-Lions hypotheses, f ∈ L1 (]0,T[xΩ) and Ω is a domain in RN. We find spaces of type Lr(0,T;Mq(Ω)) containing the entropy solution and its gradient. We also include some summability results when f = 0 and the p-Laplacian...
Regularized Semigroups, Iterated Cauchy Problems and Equipartition of Energy.
Remarks on invariant subspaces and Lp-solutions of the Schrödinger evolution equation.
Remarks on the existence and decay of the nonlinear beam equation.
Semigroup approach to the Stefan problem with non-linear flux
Un problema di Stefan a due fasi con condizione di flusso non lineare sulla parte fissa della frontiera è affrontato mediante la teoria dei semigruppi di contrazione in . Si dimostra l'esistenza e l’unicità della soluzione nel senso di Crandall-Liggett e Bénilan.
Semi-group methods in stochastic control
Semigroup structure underlying evolutions.
Semigroups and generators on convex domains with the hyperbolic metric
Let be domain in a complex Banach space , and let be a pseudometric assigned to by a Schwarz-Pick system. In the first section of the paper we establish several criteria for a mapping to be a generator of a -nonexpansive semigroup on in terms of its nonlinear resolvent. In the second section we let be a complex Hilbert space, the open unit ball of , and the hyperbolic metric on . We introduce the notion of a -monotone mapping and obtain simple characterizations of generators...
Smoothness effect and decay on a class of non linear evolution equation
Some characterizations for a family of nonexpansive mappings and convergence of a generated sequence to their common fixed point.
Some remarks on an operational time dependent equation
Some unified algorithms for finding minimum norm fixed point of nonexpansive semigroups in Hilbert spaces.
Stability and boundedness of controllable continuous flows
In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.
Stabilization of a hybrid system: An overhead crane with beam model.
Stabilization of a hybrid system with a nonlinear nonmonotone feedback
Stabilization of a hybrid system with a nonlinear nonmonotone feedback
For a hybrid system composed of a cable with masses at both ends, we prove the existence of solutions for a class of nonlinear and nonmonotone feedback laws by means of a priori estimates. Assuming some local monotonicity, strong stabilization is obtained thanks to some Riemann's invariants technique and La Salle's principle.
Stochastic calculus and martingales on trees
Strong convergence of a generalized iterative method for semigroups of nonexpansive mappings in Hilbert spaces.