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Displaying 61 – 80 of 92

Stokes equations in asymptotically flat layers

Helmut Abels (2005)

Banach Center Publications

We study the generalized Stokes resolvent equations in asymptotically flat layers, which can be considered as compact perturbations of an infinite (flat) layer $Ω ₀ = ℝ^{n - 1} \times (- 1, 1)$ . Besides standard non-slip boundary conditions, we consider a mixture of slip and non-slip boundary conditions on the upper and lower boundary, respectively. We discuss the results on unique solvability of the generalized Stokes resolvent equations as well as the existence of a bounded $H_{\infty}$ -calculus for the associated Stokes operator and some...

Strong ellipticity of boundary integral operators.

M., Wendland, W.L. Costabel (1986)

Journal für die reine und angewandte Mathematik

Sur la résolvante d'un problème aux limites pseudo-différentiel

G. Grubb (1977/1978)

Séminaire Équations aux dérivées partielles (Polytechnique)

Sur la résolvante et le calcul fonctionnel des problèmes aux limites pseudo-différentiels

Gerd Grubb (1980)

Journées équations aux dérivées partielles

The convergence estimates for Galerkin-wavelet solution of periodic pseudodifferential initial value problems.

Nguyen Minh Chuong, Bui Kien Cuong (2003)

International Journal of Mathematics and Mathematical Sciences

The Fast Fourier Transform and the Numerical Solution of One-Dimensional Boundary Integral Equations.

U. Lamp, K.-T. Schleicher, W. Wendland (1985)

Numerische Mathematik

The Oblique Derivative Problem. I.

Bengt Winzell (1977)

Mathematische Annalen

The wave equation with oscillating density: observability at low frequency

Gilles Lebeau (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We prove an observability estimate for a wave equation with rapidly oscillating density, in a bounded domain with Dirichlet boundary condition.

Time dependent Dirichlet space, mixed Dirichlet problem and pseudo-differential operators

Hoda A. Ali (2005)

Mathematica Slovaca

Traces and quasi-traces on the Boutet de Monvel algebra

Gerd Grubb, Elmar Schrohe (2004)

Annales de l’institut Fourier

We construct an analogue of Kontsevich and Vishik’s canonical trace for pseudodifferential boundary value problems in the Boutet de Monvel calculus on compact manifolds with boundary. For an operator $A$ in the calculus (of class zero), and an auxiliary operator $B$ , formed of the Dirichlet realization of a strongly elliptic second- order differential operator and an elliptic operator on the boundary, we consider the coefficient $C_{0} (A, B)$ of ${(- λ)}^{- N}$ in the asymptotic expansion of the resolvent trace $Tr (A {(B - λ)}^{- N})$ (with $N$ large)...

Utilisation des opérateurs pseudo-différentiels et des opérateurs trace dans certains problèmes aux limites (suite)

L. Boutet de Monvel (1971/1972)

Séminaire Équations aux dérivées partielles (Polytechnique)

Valeurs propres d'une classe d'équations différentielles singulières sur une demi-droite

Pham The Lai, Didier Robert (1977)

Journées équations aux dérivées partielles

Wavelet approximation methods for pseudodifferential equations: I. Stability and convergence.

W. Dahmen, S. Prössdorf, R. Schneider (1994)

Mathematische Zeitschrift

Well-Posedness of the Cauchy Problem for Inhomogeneous Time-Fractional Pseudo-Differential Equations

Saydamatov, Erkin (2006)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 26A33, 45K05, 35A05, 35S10, 35S15, 33E12In the present paper the Cauchy problem for partial inhomogeneous pseudo-differential equations of fractional order is analyzed. The solvability theorem for the Cauchy problem in the space ΨG,2(R^n) of functions in L2(R^n) whose Fourier transforms are compactly supported in a domain G ⊆ R^n is proved. The representation of the solution in terms of pseudo-differential operators is given. The solvability theorem in the Sobolev...