Über maximale LP-Regularität für Differentialgleichungen in Banach- und Hilbert-Räumen.
Unconditional stability of difference formulas
The paper concerns the solution of partial differential equations of evolution type by the finite difference method. The author discusses the general assumptions on the original equation as well as its discretization, which guarantee that the difference scheme is unconditionally stable, i.e. stable without any stability condition for the time-step. A new notion of the -acceptability of the integration formula is introduced and examples of such formulas are given. The results can be applied to ordinary...
Une étude d'existence sur certains problèmes paraboliques
Une propriete arithmetique de certains operateurs differentiels.
Uniform exponential stability of linear almost periodic systems in Banach spaces.
Uniform exponential stability of linear periodic systems in a Banach space.
Weak almost periodic and optimal mild solutions of fractional evolution equations.
Well-posedness of abstract Cauchy problems.
Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions.
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations.
When unit groups of continuous inverse algebras are regular Lie groups
It is a basic fact in infinite-dimensional Lie theory that the unit group of a continuous inverse algebra A is a Lie group. We describe criteria ensuring that the Lie group is regular in Milnor’s sense. Notably, is regular if A is Mackey-complete and locally m-convex.
Zur Parameterabhängigkeit bei Differentialgleichungen.
ω-ultradistributions and their application to operator theory
Аналитические полугруппы с ядрами и линейные уравнения типа Соболева.
Асимптотическое расщепление краевых задач для абстрактных дифференциальных уравнений.
Вариационный принцип в нелокальных по времени задачах для линейных эволюционных уравнений
Вырождающиеся дифференциальные уравнения второго порядка в гильбертовых пространствах.
Вырождающиеся операторные уравнения
Гиперфункции-решения дифференциально-операторных уравнений
Граничные задачи для дифференциального уравнения второго порядка с самосопряженными операторными коэффициентами