Тип публикации: статья из журнала
Год издания: 2013
Идентификатор DOI: 10.1016/j.jde.2013.07.029
Ключевые слова: Sturm-Liouville problem, Discontinuous Robin condition, Root function, Lipschitz domain, Non-coercive problem
Аннотация: We consider a Sturm-Liouville boundary value problem in a bounded domain D of R-n. By this is meant that the differential equation is given by a second order elliptic operator of divergent form in D and the boundary conditions are of Robin type on partial derivative D. The first order term of the boundary operator is the oblique derivative whose coefficients bear discontinuities of the first kind. Applying the method of weak perturbation of compact selfadjoint operators and the method of rays of minimal growth, we prove the completeness of root functions related to the boundary value problem in Lebesgue and Sobolev spaces of various types. (C) 2013 Elsevier Inc. All rights reserved.
Издание
Журнал: JOURNAL OF DIFFERENTIAL EQUATIONS
Выпуск журнала: Vol. 255, Is. 10
Номера страниц: 3305-3337
ISSN журнала: 00220396
Место издания: SAN DIEGO
Издатель: ACADEMIC PRESS INC ELSEVIER SCIENCE
Персоны
- Shlapunov Alexander (Siberian Fed Univ, Inst Math & Comp Sci, Krasnoyarsk 660041, Russia)
- Tarkhanov Nikolai (Univ Potsdam, Inst Math, D-14469 Potsdam, Germany)
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