Garding's inequality for elliptic differential operator with infinite number of variables.
Gâteaux derivative and orthogonality in -classes.
Gâteaux derivative and orthogonality in -classes.
Gaussian estimates for Schrödinger perturbations
We propose a new general method of estimating Schrödinger perturbations of transition densities using an auxiliary transition density as a majorant of the perturbation series. We present applications to Gaussian bounds by proving an optimal inequality involving four Gaussian kernels, which we call the 4G Theorem. The applications come with honest control of constants in estimates of Schrödinger perturbations of Gaussian-type heat kernels and also allow for specific non-Kato perturbations.
GB*-Algebras associated with inductive limits of Hilbert spaces
G-convergence of monotone operators
Gebietsinvarianzsatz und Eigenwertaussagen für konzentrierende Abbildungen
Gelfand and Kolmogorov numbers of embedding of radial Besov and Sobolev spaces
We prove asymptotic formulas for the behavior of Gelfand and Kolmogorov numbers of Sobolev embeddings between Besov and Triebel-Lizorkin spaces of radial distributions. Our method works also for Weyl numbers.
Gelfand numbers and metric entropy of convex hulls in Hilbert spaces
For a precompact subset K of a Hilbert space we prove the following inequalities: , n ∈ ℕ, and , k,n ∈ ℕ, where cₙ(cov(K)) is the nth Gelfand number of the absolutely convex hull of K and and denote the kth entropy and kth dyadic entropy number of K, respectively. The inequalities are, essentially, a reformulation of the corresponding inequalities given in [CKP] which yield asymptotically optimal estimates of the Gelfand numbers cₙ(cov(K)) provided that the entropy numbers εₙ(K) are slowly...
Gelfand numbers of operators with values in a Hilbert space.
General boundary value problem for an integrodifferential system and its adjoint (continuation)
General Coincidence Theorems for maps and Multivalued maps in Topological Vector Spaces
General comparison principle for variational-hemivariational inequalities.
General existence principles for nonlocal boundary value problems with -Laplacian and their applications.
General existence results for nonconvex third order differential inclusions.
General iterative algorithm for nonexpansive semigroups and variational inequalities in Hilbert spaces.
General method of regularization. I: Functionals defined on BD space
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. In part II, we will show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we will prove the existence theorem for the limit analysis problem.
General method of regularization. II: Relaxation proposed by suquet
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. We show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we prove an existence theorem for the limit analysis problem.
General method of regularization. III: The unilateral contact problem
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material with the Signorini constraints on the boundary) is the weak* lower semicontinuous regularization of the plastic energy. We consider an elastic-plastic solid endowed with the von Mises (or Tresca) yield condition. Moreover, we show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. We deduce that...
General mixed problems for the KdV equations on bounded intervals.