Operational WKB solution to the initial/final-value problem for Beechem-Haas equations.
Optimal Proliferation Rate in a Cell Division Model
We consider a size structured cell population model where a mother cell gives birth to two daughter cells. We know that the asymptotic behavior of the density of cells is given by the solution to an eigenproblem. The eigenvector gives the asymptotic shape and the eigenvalue gives the exponential growth rate and so the Maltusian parameter. The Maltusian parameter depends on the division rule for the mother cell, i.e., symmetric (the two daughter cells have the same size) or asymmetric. We use a...
Problème de Dirichlet pour certains systèmes couplés au premier ordre.
Randwertaufgabe von Hilbert-Typus fur die p-analytischen Funktionen und die Methode der Fourier-Schen Transformation
Schwarz-sche Randwertaufgabe fur eine Klasse der verallgemeinerten analytischen Funktionen
Solutions to the equation div u = f in weighted Sobolev spaces
We consider the problem div u = f in a bounded Lipschitz domain Ω, where f with is given. It is shown that the solution u, constructed as in Bogovski’s approach in [1], fulfills estimates in the weighted Sobolev spaces , where the weight function w is in the class of Muckenhoupt weights .
The boundary-value problem for the transport equation with purely Compton scattering.
The problem and singular integrals on Orlicz spaces
The -Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary
Traces and the F. and M. Riesz theorem for vector fields
This work studies conditions that insure the existence of weak boundary values for solutions of a complex, planar, smooth vector field . Applications to the F. and M. Riesz property for vector fields are discussed.
Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain
We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show these systems are well-posed in the sense of Weiss and Salamon if and only if the state operator generates a C0-semigroup. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.
Дифференцируемые решения симметричных систем в плоских областях с нерегулярной границей
Линейные возмущения оператора div.
Начальная краевая задача для одной составной системы.
О влиянии младших членов на постановку краевых задач для одной системы уравнений с частными производными первого порядка.
О методе ортогонального расширения переопределенных систем
О некоторых задачах векторного анализа
Об одной системе первого порядка.
Об одном способе получения явных формул для индекса пространственных краевых задач
Обратная краевая задача с параметром для эллиптической системы первого порядка в случае многосвязной области