A quasi-nilpotent operator with reflexive commutant, II
A new example of a non-zero quasi-nilpotent operator T with reflexive commutant is presented. The norms converge to zero arbitrarily fast.
A quasistatic bilateral contact problem with adhesion and friction for viscoelastic materials
We consider a mathematical model which describes a contact problem between a deformable body and a foundation. The contact is bilateral and is modelled with Tresca's friction law in which adhesion is taken into account. The evolution of the bonding field is described by a first order differential equation and the material's behavior is modelled with a nonlinear viscoelastic constitutive law. We derive a variational formulation of the mechanical problem and prove the existence and uniqueness result...
A quasistatic bilateral contact problem with friction for nonlinear elastic materials.
A quasistatic contact problem with unilateral constraint and slip-dependent friction
We consider a mathematical model of a quasistatic contact between an elastic body and an obstacle. The contact is modelled with unilateral constraint and normal compliance, associated to a version of Coulomb's law of dry friction where the coefficient of friction depends on the slip displacement. We present a weak formulation of the problem and establish an existence result. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments.
A quasistatic frictional contact problem with adhesion for nonlinear elastic materials.
A quasistatic unilateral contact problem with slip-dependent coefficient of friction for nonlinear elastic materials.
A Random Evolution Inclusion of Subdifferential Type in Hilbert Spaces
In this paper we study a nonlinear evolution inclusion of subdifferential type in Hilbert spaces. The perturbation term is Hausdorff continuous in the state variable and has closed but not necessarily convex values. Our result is a stochastic generalization of an existence theorem proved by Kravvaritis and Papageorgiou in [6].
A random fixed point theorem for multivalued mappings of Ćirić type
A random walk for the solution sought: Remarks on the difference scheme approach to nonlinear semigroups and evolution operators.
A -range and φ- spatial Numerical range of a Tensor
A rapid convergence method for a singular perturbation problem
A ratio ergodic theorem for multiparameter non-singular actions
We prove a ratio ergodic theorem for non-singular free and actions, along balls in an arbitrary norm. Using a Chacon–Ornstein type lemma the proof is reduced to a statement about the amount of mass of a probability measure that can concentrate on (thickened) boundaries of balls in . The proof relies on geometric properties of norms, including the Besicovitch covering lemma and the fact that boundaries of balls have lower dimension than the ambient space. We also show that for general group...
A rearrangement estimate for the generalized multilinear fractional integrals.
A Recession Notion for a Class of Monotone Bivariate Functions
Using monotone bifunctions, we introduce a recession concept for general equilibrium problems relying on a variational convergence notion. The interesting purpose is to extend some results of P. L. Lions on variational problems. In the process we generalize some results by H. Brezis and H. Attouch relative to the convergence of the resolvents associated with maximal monotone operators.
A reduced modelling approach to the pricing of mortgage backed securities.
A refined Newton’s mesh independence principle for a class of optimal shape design problems
Shape optimization is described by finding the geometry of a structure which is optimal in the sense of a minimized cost function with respect to certain constraints. A Newton’s mesh independence principle was very efficiently used to solve a certain class of optimal design problems in [6]. Here motivated by optimization considerations we show that under the same computational cost an even finer mesh independence principle can be given.
A refinement of the Poincaré inequality for Kolmogorov operators on .
A Relation between Diagonal and Unconditional Basis Constants.
A relation between the multiplicity of the second eigenvalue of a graph Laplacian, Courant's nodal line theorem and the substantial dimension of tight polyhedral surfaces.
A relation to Hilbert's integral inequality and some base Hilbert-type inequalities.