Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations
Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations
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DOI：
10.1090/surv/085
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发表时间：
2000-10
期刊：
影响因子：
--
通讯作者：
V. Kozlov;V. Maz'ya;J. Rossmann
中科院分区：
文献类型：
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作者：
V. Kozlov;V. Maz'ya;J. Rossmann
数学物理方程解的奇异性简介：调和函数的角奇异性和锥奇异性Lame系统的Dirichlet问题Lame系统的其他边值问题Stokes系统的Dirichlet问题锥中Stokes系统的其他边值问题双调和和多调和方程的Dirichlet问题一般椭圆型方程解的奇异性方程和系统：椭圆型方程和方程组在角上的狄利克雷问题一般边值问题在角上产生的算子束的谱的渐近性强椭圆型方程组在特殊锥上的狄利克雷问题锥上的狄利克雷问题锥上的诺依曼问题。
Introduction Singularities of solutions to equations of mathematical physics: Prerequisites on operator pencils Angle and conic singularities of harmonic functions The Dirichlet problem for the Lame system Other boundary value problems for the Lame system The Dirichlet problem for the Stokes system Other boundary value problems for the Stokes system in a cone The Dirichlet problem for the biharmonic and polyharmonic equations Singularities of solutions to general elliptic equations and systems: The Dirichlet problem for elliptic equations and systems in an angle Asymptotics of the spectrum of operator pencils generated by general boundary value problems in an angle The Dirichlet problem for strongly elliptic systems in particular cones The Dirichlet problem in a cone The Neumann problem in a cone Bibliography Index List of symbols.