Kernels associated to general elliptic problems
نویسندگان
چکیده
منابع مشابه
Fredholm Property of General Elliptic Problems
Linear elliptic problems in bounded domains are normally solvable with a finite-dimensional kernel and a finite codimension of the image, that is, satisfy the Fredholm property, if the ellipticity condition, the condition of proper ellipticity and the Lopatinskii condition are satisfied. In the case of unbounded domains these conditions are not sufficient any more. The necessary and sufficient ...
متن کاملMultilevel Filtering Preconditioners: Extensions to More General Elliptic Problems
The concept of multilevel filtering (MF) preconditioning applied to second-order selfadjoint elliptic problems is briefly reviewed. It is then shown how to effectively apply this concept to other elliptic problems such as the second-order anisotropic problem, biharmonic equation, equations on locally refined grids and interface operators arising from domain decomposition methods. Numerical resu...
متن کاملSolutions to general quasilinear elliptic second order problems
We study the second order quasilinear equation (1) Qu = f(x; u; D 1 u; :::; D n u) with Dirichlet conditions. We obtain existence and uniqueness results in the Sobolev Space W 2;p. We also prove that, in certain cases, the set of solutions of (1) is a connected subset of W 2;p .
متن کاملNormal Solvability of General Linear Elliptic Problems
The paper is devoted to general elliptic problems in the Douglis-Nirenberg sense. We obtain a necessary and sufficient condition of normal solvability in the case of unbounded domains. Along with the ellipticity condition, proper ellipticity and Lopatinsky condition that determine normal solvability of elliptic problems in bounded domains, one more condition formulated in terms of limiting prob...
متن کاملElliptic and hyperbolic quadratic eigenvalue problems and associated distance problems
Two important classes of quadratic eigenvalue problems are composed of elliptic and hyperbolic problems. In [Linear Algebra Appl., 351–352 (2002) 455], the distance to the nearest non-hyperbolic or non-elliptic quadratic eigenvalue problem is obtained using a global minimization problem. This paper proposes explicit formulas to compute these distances and the optimal perturbations. The problem ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1969
ISSN: 0022-1236
DOI: 10.1016/0022-1236(69)90039-1