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Displaying 1621 – 1640 of 2162

On the relation of delay equations to first-order hyperbolic partial differential equations

Iasson Karafyllis, Miroslav Krstic (2014)

ESAIM: Control, Optimisation and Calculus of Variations

This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of systems (among them converse Lyapunov results). The proposed framework can allow the study of discontinuous solutions for nonlinear systems described by a single first-order hyperbolic partial differential equation under the effect of measurable inputs acting on...

On the relationship between difference and projection-difference methods

N. A. Strelkov (1990)

Banach Center Publications

On the Relative Completeness of the Generalized Eigenvectors of Elliptic Eigenvalue Problems with Indefinite Weight Functions.

Peter Hess (1985)

Mathematische Annalen

On the relative fundamental solutions for a second order differential operator on the Heisenberg group

T. Godoy, L. Saal (2001)

Studia Mathematica

Let Hₙ be the (2n+1)-dimensional Heisenberg group, let p,q ≥ 1 be integers satisfying p+q=n, and let $L = \sum_{j = 1}^{p} (X ²_{j} + Y ²_{j}) - \sum_{j = p + 1}^{n} (X ²_{j} + Y ²_{j})$ , where X₁,Y₁,...,Xₙ,Yₙ,T denotes the standard basis of the Lie algebra of Hₙ. We compute explicitly a relative fundamental solution for L.

On the relativistic calculation of the Lamb shift

Roger Boudet (1996)

Banach Center Publications

A relativistic calculation of the Lamb shift, using the classical field created by the Dirac transition currents, is proposed.

On the remainder in the Weyl formula for the Euclidean disk

Yves Colin de Verdière (2010/2011)

Séminaire de théorie spectrale et géométrie

We prove a 2-terms Weyl formula for the counting function $N (μ)$ of the spectrum of the Laplace operator in the Euclidean disk with a sharp remainder estimate $O (μ^{2 / 3})$ .

On the representation of non-negative solutions of linear parabolic systems of partial differential equations

J. Chabrowski (1973)

Annales Polonici Mathematici

On the result of He concerning the smoothness of solutions to the Navier-Stokes equations.

Pokorný, Milan (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the Riemann-Hilbert problem in the domain with a nonsmooth boundary.

Kokilashvili, V., Paatashvili, V. (1997)

Georgian Mathematical Journal

On the rigidity of minimal mass solutions to the focusing mass-critical NLS for rough initial data.

Li, Dong, Zhang, Xiaoyi (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the role of boundary conditions for CIP stabilization of higher order finite elements.

Schieweck, Friedhelm (2008)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems.

Crema, Janete, do Nascimento, Arnaldo Simal (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations

Nakao Hayashi, Keiichi Kato, Pavel I. Naumkin (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the Scattering Matrix for N-Particle Hamiltonians

D. Yafaev (1992/1993)

Publications mathématiques et informatique de Rennes

On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering.

Frank, Rupert L., Shterenberg, Roman G. (2004)

Documenta Mathematica

On the scattering theory of the Laplacian with a periodic boundary condition. I. Existence of wave operators.

Frank, Rupert L. (2003)

Documenta Mathematica

On the Schauder estimates of solutions to parabolic equations

Qing Han (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the Schrödinger equation in L...spaces.

O. El-Mennaoui, V. Keyantuo (1996)

Mathematische Annalen

On the Schrödinger heat kernel in horn-shaped domains

Gabriele Grillo (2004)

Colloquium Mathematicae

We prove pointwise lower bounds for the heat kernel of Schrödinger semigroups on Euclidean domains under Dirichlet boundary conditions. The bounds take into account non-Gaussian corrections for the kernel due to the geometry of the domain. The results are applied to prove a general lower bound for the Schrödinger heat kernel in horn-shaped domains without assuming intrinsic ultracontractivity for the free heat semigroup.

On the Schwarz algorithms for the elliptic exterior boundary value problems

Faker Ben Belgacem, Miche Fournié, Nabil Gmati, Faten Jelassi (2005)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Tuning the alternating Schwarz method to the exterior problems is the subject of this paper. We present the original algorithm and we propose a modification of it, so that the solution of the subproblem involving the condition at infinity has an explicit integral representation formulas while the solution of the other subproblem, set in a bounded domain, is approximated by classical variational methods. We investigate many of the advantages of the new Schwarz approach: a geometrical convergence...

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