Energy and pointwise bounds in some non-standard parabolic problems

被引：22
|
作者：
Ames, KA [1 ]
Payne, LE
Schaefer, PW
机构：
[1] Univ Alabama, Dept Math Sci, Huntsville, AL 35899 USA
[2] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
[3] Univ Tennessee, Dept Math, Knoxville, TN 37916 USA
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2004年 / 134卷
关键词：
D O I：
10.1017/S0308210500003036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a class of initial-boundary-value problems for which an auxiliary condition of the form alphau(x, 0) + u(x, T) = g(x), x is an element of Omega, is prescribed. We determine bounds on an energy expression by means of differential inequalities and derive pointwise bounds for the solution and its gradient by use of a parabolic maximum principle.
引用
收藏
页码：1 / 9
页数：9
相关论文
共 50 条
  • [1] Energy bounds for some non-standard problems in thermoelasticity
    Quintanilla, R
    Straughan, B
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2056): : 1147 - 1162
  • [2] Some non-standard problems in viscous flow
    Payne, LE
    Schaefer, PW
    Song, JC
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (17) : 2045 - 2053
  • [3] On Some Non-Standard Problems in Linear Thermoelasticity
    Chirita, S.
    [J]. JOURNAL OF THERMAL STRESSES, 2009, 32 (12) : 1256 - 1269
  • [4] NON-STANDARD GALERKIN METHODS OF HIGH ACCURACY FOR PARABOLIC PROBLEMS
    张书华
    姜忠炳
    翟瑞彩
    [J]. Transactions of Tianjin University, 1997, (01) : 68 - 72
  • [5] PARABOLIC PROBLEMS IN NON-STANDARD SOBOLEV SPACES OF INFINITE ORDER
    Chrif, Moussa
    El Manouni, Said
    Hjiaj, Hassane
    [J]. MATEMATICHE, 2018, 73 (02): : 341 - 369
  • [6] L2 bounds in some non-standard nonlinear problems in partial differential equations
    Schaefer, Philip W.
    [J]. EXPOSITIONES MATHEMATICAE, 2006, 24 (04) : 371 - 377
  • [7] Bounds for some non-standard problems in porous flow and viscous Green-Naghdi fluids
    Quintanilla, R
    Straughan, B
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2062): : 3159 - 3168
  • [8] Non-standard Green energy problems in the complex plane
    Abey López-García
    Alexander Tovbis
    [J]. Analysis and Mathematical Physics, 2023, 13
  • [9] Non-standard Green energy problems in the complex plane
    Lopez-Garcia, Abey
    Tovbis, Alexander
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2023, 13 (05)
  • [10] Bounds on Neutrino Non-Standard Interactions
    Fernandez-Martinez, Enrique
    [J]. NEUTRINO FACTORIES, SUPERBEAMS, AND BETA BEAMS, 2010, 1222 : 150 - 154
12345