A Laplace type problem for three lattices with non-convex cell

被引：1
|
作者：
Caristi, Giuseppe [1 ]
Pettineo, Maria [2 ]
Stoka, Marius [3 ]
机构：
[1] Univ Messina, Dept SEAM, I-98122 Messina, Italy
[2] Univ Palermo, Dept Math & Informat, I-90123 Palermo, Italy
[3] Sci Accademy Turin, I-10123 Turin, Italy
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 01期
关键词：
Geometric probability; stochastic geometry; random sets; random convex sets and integral geometry;
D O I：
10.22436/jnsa.009.01.07
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider three lattices with cells represented in Fig. 1, 3 and 5 and we determine the probability that a random segment of constant length intersects a side of lattice. (C) 2016 All rights reserved.
引用
收藏
页码：75 / 82
页数：8
相关论文
共 50 条
  • [1] NON-CONVEX GENERALIZATION OF THE CIRCLE PROBLEM
    NOWAK, WG
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1980, 314 : 136 - 145
  • [2] On the First Eigenvalue of the Degenerate -Laplace Operator in Non-convex Domains
    Gol'dshtein, V.
    Pchelintsev, V.
    Ukhlov, A.
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2018, 90 (04)
  • [3] A fast heuristic for a three-dimensional non-convex domain loading problem
    Boccia, Maurizio
    di Muro, Serena
    Mosca, Francesco
    Sforza, Antonio
    Sterle, Claudio
    4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2011, 9 (01): : 83 - 101
  • [4] A fast heuristic for a three-dimensional non-convex domain loading problem
    Maurizio Boccia
    Serena di Muro
    Francesco Mosca
    Antonio Sforza
    Claudio Sterle
    4OR, 2011, 9 : 83 - 101
  • [5] A NON-CONVEX ANALOGON AND THE MULTIDIMENSIONAL SPHERE PROBLEM
    NOWAK, WG
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1983, 338 : 149 - 165
  • [6] VARIATIONAL PROBLEM IN DUALITY FOR NON-CONVEX CASES
    EKELAND, I
    LASRY, JM
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1980, 291 (08): : 493 - 496
  • [7] On the Newton aerodynamic problem for non-convex bodies
    Aleksenko, A. I.
    Plakhov, A. Yu.
    RUSSIAN MATHEMATICAL SURVEYS, 2008, 63 (05) : 959 - 961
  • [8] THE OBSTACLE PROBLEM FOR MONGE-AMPERE TYPE EQUATIONS IN NON-CONVEX DOMAINS
    Xiong, Jingang
    Bao, Jiguang
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (01) : 59 - 68
  • [9] Nesting of non-convex figures in non-convex contours
    Vinade, C.
    Dias, A.
    Informacion Tecnologica, 2000, 11 (01): : 149 - 156
  • [10] FENCHEL-ROCKAFELLAR TYPE DUALITY FOR A NON-CONVEX NON-DIFFERENTIAL OPTIMIZATION PROBLEM
    KANNIAPPAN, P
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 97 (01) : 266 - 276
12345