Article history: Received 14 January 2011 Received in revised form 31 May 2011 Accepted 8 July 2011 Available online xxxx

For one-dimensional p-Laplacian with weights in Lγ : L 0, 1 ,R 1 ≤ γ ≤ ∞ balls, we are interested in the extremal values of the mth positive half-eigenvalues associated with Dirichlet, Neumann, and generalized periodic boundary conditions, respectively. It will be shown that the extremal value problems for half-eigenvalues are equivalent to those for eigenvalues, and all these extremal values a...

Article history: Received 1 October 2013 Available online 21 November 2013 Submitted by J. Shi

Article history: Received 30 May 2012 Received in revised form 2 May 2013 Accepted 19 August 2013 Available online 25 September 2013

Disconnected skeleton [1] is a very coarse yet a very stable skeleton-based representation scheme for generic shape recognition in which recognition is performed mainly based on the structure of disconnection points of extracted branches, without explicitly using information about boundary details [2, 3]. However, sometimes sensitivity to boundary details may be required in order to achieve the...

Immersing a physical system in a heat bath results in the fields acquiring different properties according to their statistics. E.g., finite-temperature bosonic fields obey periodic boundary conditions, while fermionic fields satisfy antiperiodic b.c.’s. Such a distinction can be seen also at the level of the Green’s functions. Depending on the field’s statistics, thermal propagators obey either...

We propose a novel and efficient approach for extracting the boundary surfaces from heterogeneous volumetric data in one pass. Each homogeneous material component is surrounded by a boundary surface, which is composed of piecewise 2-manifold meshes. The key idea is to subdivide each cubical voxel into two tri-prism voxels and to construct the boundary surfaces in a dimension-ascending (DA) way,...

The Cauchy problem for the 2D Boussinesq system with periodic boundary conditions is studied. The global existence and uniqueness of a solution with initial data (u(0), θ(0)) ∈ Φ(α) is established, where Φ(α) is the space of functions the kth Fourier coefficients of which decay at infinity as 1 |k|α , α > 2. It is proved that the solution becomes analytic at any positive time. Bibliography: 10 ...

Two major approaches to defining the semantics of inaccurate boundary representations have been proposed in the literature. They are referred to here as single-set semantics, and class-of-sets semantics, respectively. Our description of the distinction between these two approaches focuses on the nature of the topological regularity on which they are based (classical regularity vs. ǫ-regularity)...