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Eigenvalues of Elliptic Systems for the mixed problem in Perturbations of Lipschitz Domains with Nonhomogeneous Neumann Boundary Conditions

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Journal of Partial Differential Equations 2020年第1期33卷 48-63页

作者： MIYAZAKI Kohei TAYLOR Justin L. Department of Mathematics&Statistics Murray State UniversityMurrayKentuckyU.S.A

We study eigenvalues of an elliptic operator with mixed boundary conditions on very general decompositions of the *** impose nonhomogeneous conditions on the part of the boundary where the Neumann term lies in a certain Sobolev or Lp *** work compares the behavior of and gives a relationship between the eigenvalues and eigenfunctions on the unperturbed and perturbed domains,respectively.

关键词： Eigenvalues elliptic systems mixed problem perturbed domains

PROGRESSING WAVE SOLUTIONS TO QUASI-LINEAR SYSTEMS mixed problemS

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Chinese Annals of Mathematics,Series B 1994年第4期15卷 401-420页

作者： WANG WEIKE(Department of Mathematics,Wuhan University,Wuhan 430072,China.) 武汉大学数学系湖北武汉 430072

The author studies the technique of paradifferential operator defined on a space of conormaldistribution with three indeces,and then use this technique to prove that a progressing wavewhich hits the boundary is reflec... 详细信息

关键词： Quasi-linear system mixed problem Conormal distribution Tangential Paradifferential operator Reflection of progressing wave.

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RESTUDY OF THEORIES FOR ELASTIC SOLIDS WITH MICROSTRUCTURE

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Applied Mathematics and Mechanics(English Edition) 2002年第8期23卷 867-874页

作者： DAI Tian- min(戴天民) Department of Mathematics and Center for the Application of Mathematics Liaoning University Shenyang 110036 P R China

The dynamical theories of elastic solids with microstructure are restudied and the reason why so many notations have been introduced for derivation of basic equations for such theories is given. In view of the existing problems in those theories the rather general principle of power and energy rate is postulated and the equations of motion, the balance equations of energy rate and energy and the boundary conditions for local and nonlocal theories are naturally derived with help of that principle and the generalized Piola's theorem. These basic equations and the boundary conditions together with the initial conditions may be. used to solve the mixed problems of the dynamical theory of elastic solids with microstructure.

关键词： elastic solid microstructure principle of power and energy rate mixed problem

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Uniqueness and Stability of Solution for Semi-liner Heat-conduction Equationin Higher Dimension

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Chinese Quarterly Journal of Mathematics 2004年第4期19卷 416-421页

作者： CAO Dian-li, LIANG Bao-song, YE Yao-jun(College of Basic Science, Henan Agricultural University, Zhengzhou 450002, China ) College of Basic Science Henan Agricultural University Zhengzhou 450002China

This paper deals with the uniqueness of solution to a class of semi-linear heat-conduction equation in higher dimension on the basis of references [1] and [2]. The main results in this paper are as follows: the soluti... 详细信息

关键词： smooth function mixed problem initial condition boundary condition free term