We derive global in time a priori bounds on higherlevel energy norms of strong solutions to a semilinear wave equation: in particular, we prove that despite the influence of a nonlinear source, the evolution of a smooth initial state is globally bounded in the strong topology ∼ H × H. And the bound is uniform with respect to the corresponding norm of the initial data. It is known that an m-accr...

Triangular norms (t-norms for short) play a crucial role in several fields of mathematics and AI. For an exhaustive overview on t-norms we refer to [20]. Recently an increasing interest of left-continuous t-norm based theories can be observed (see e.g. [3, 5, 6, 7, 18]). In this paper we discuss in detail the presently existing construction methods which result in left-continuous triangular nor...

In this paper, we completely characterize the compactness of Volterra type integration operators $$J_b$$ acting from weighted Bergman spaces $$A^p_{\alpha }$$ to Hardy $$H^q$$ for all $$0<p,q<\infty $$ . Furthermore, give some estimates essential norms $$J_b:A^p_{\alpha }\rightarrow H^q$$ in case $$0<p\le q<\infty We finally describe membership Schatten(-Herz) class operators.

The value of personality test norms for use in work settings depends on norm sample size (N) and relevance, yet research on these criteria is scant and corresponding standards are vague. Using basic statistical principles and Hogan Personality Inventory (HPI) data from 5 sales and 4 trucking samples (N range = 394–6,200), we show that (a) N >100 has little practical impact on the reliability of...

This paper deals with Lipschitzian t-norms. A partial answer to an open problem of Alsina, Frank and Schweizer is given with regard to strict t-norms with smooth additive generators. A new notion of local Lipschitzianity for arbitrary tnorms is introduced. Some remarkable examples of non-Lipschitzian continuous triangular norms are provided.

This second part (out of three) of a series of position papers on triangular norms (for Part I see [43]) deals with general construction methods based on additive and multiplicative generators, and on ordinal sums. Also included are some constructions leading to non-continuous t-norms, and a presentation of some distinguished families of t-norms.

This paper gives double angle theorems that bound the change in an invariant subspace of an indeenite Hermitian matrix in the graded form H = D AD subject to a perturbation H ! e H = D (A + A)D. These theorems extend recent results on a deenite Hermitian matrix in the graded form (Linear Algebra Appl., 311 (2000), 45{60) but the bounds here are more complicated in that they depend on not only r...

In this paper we analyze several first-order systems of Oseen-type equations that are obtained from the time-dependent incompressible NavierStokes equations after introducing the additional vorticity and possibly total pressure variables, time-discretizing the time derivative and linearizing the nonlinear terms. We apply the [L, L, L] least-squares finite element scheme to approximate the solut...