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pro vyhledávání: '"L. S. Frank"'
Autor:
L. S. Frank
Publikováno v:
Topics in Matrix and Operator Theory ISBN: 9783034856744
A singularly perturbed eigenvalue problem appearing in the theory of elastic rods is considered.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e324631a9bca9354dc650b4df86d02a
https://doi.org/10.1007/978-3-0348-5672-0_9
https://doi.org/10.1007/978-3-0348-5672-0_9
Autor:
W. D. Wendt, L. S. Frank
Publikováno v:
Journal d'Analyse Mathématique. 43:88-135
On etend la stabilite pour des perturbations singulieres differentielles coercives a la classe des operateurs de Wiener-Hopf a petit parametre qui ont la forme d'une colonne et dont les symboles sont des fonctions rationnelles de la variable conormal
Autor:
L. S. Frank
Publikováno v:
Annali di Matematica Pura ed Applicata. 148:367-395
The method based upon a constructive reduction of coercive singular perturbations to regular ones, introduced in 1977 (see [4]) and developed later on (see [9–11]) is applied for computing the asymptotic expansions for eigenvalues of coercive singu
Autor:
L. S. Frank, W.D Wendt
Publikováno v:
Journal of Mathematical Analysis and Applications. 88:464-504
General coercive singular perturbations are reduced to regular ones, using an algebra of singularly perturbed Wiener-Hopf type operators. High order asymptotic formulae, also for non-smooth data, are indicated and sharp error estimates are establishe
Autor:
L. S. Frank, W. D. Wendt
Publikováno v:
Annali di Matematica Pura ed Applicata. 144:261-301
A family of semilinear parabolic operators\(\mathfrak{A}_\varepsilon \) and corresponding elliptic operators\(\mathfrak{A}_{\varepsilon ,\infty } \) is considered, e being a small parameter and the reduced problem being characterized by the presence
Publikováno v:
Journal of Differential Equations. 36:249-256
In a recent paper [3] Evans and Friedman proved the existence of a global classical solution for two immiscibIe fluids in a one-dimensional porous medium; a solution in a weaker sense was earlier established by Evans [l] [2]. As for uniqueness, the o
Autor:
L S Frank
Publikováno v:
Mathematics of the USSR-Sbornik. 15:183-226
In this paper, difference analogs of Sobolev–Slobodeckiĭ spaces are studied: , where is either the whole space or a halfspace. One obtains difference analogs of imbedding theorems, on traces and on extensions of network functions from a halfspace
Autor:
L. S. Frank, G. P. Klimov
Publikováno v:
Theory of Probability & Its Applications. 12:120-124
Autor:
L. S. Frank
Publikováno v:
Israel Journal of Mathematics. 13:24-55
An algebra of difference operators is introduced and some of their properties are studied. It is shown that this is aC*-algebra and a differences analogue of Garding’s inequality is proved.
Autor:
Wolfgang D. Wendt, L. S. Frank
Publikováno v:
Journal of Differential Equations. (1):1-18
A family of elliptic operators with discontinuous nonlinearity affected by the presence of a positive parameter λ is considered. A critical value λc of λ and the zero-set Ec of the corresponding critical solution uλc play a special role in the tr