Decay rates for solutions of a system of wave equations with memory.
Displaying 1141 – 1160 of 5234
Decay rates for solutions of a Timoshenko system with a memory condition at the boundary.
De Lima Santos, Mauro (2002)
Abstract and Applied Analysis
Decay rates for solutions of damped systems and generalized Fourier transforms.
Reinhard Racke (1990)
Journal für die reine und angewandte Mathematik
Decay rates for solutions of degenerate parabolic systems.
Jungel, Ansgar, Markowich, Peter A., Toscani, Giuseppe (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Decay rates for solutions of semilinear wave equations with a memory condition at the boundary.
de Lima Santos, Mauro (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Decay rates of Volterra equations on ℝN
Monica Conti, Stefania Gatti, Vittorino Pata (2007)
Open Mathematics
This note is concerned with the linear Volterra equation of hyperbolic type on the whole space ℝN. New results concerning the decay of the associated energy as time goes to infinity were established.
Decaying Entire Positive Solutions of Quasilinear Elliptic Equations.
Takasi Kusano, Charles A. Swanson (1986)
Monatshefte für Mathematik
Decaying positive entire solutions of the -Laplacian
Yin Xi Huang (1995)
Czechoslovak Mathematical Journal
Decomposition and Moser's lemma.
David E. Edmunds, Miroslav Krbec (2002)
Revista Matemática Complutense
Using the idea of the optimal decomposition developed in recent papers (Edmunds-Krbec, 2000) and in Cruz-Uribe-Krbec we study the boundedness of the operator Tg(x) = ∫x1 g(u)du / u, x ∈ (0,1), and its logarithmic variant between Lorentz spaces and exponential Orlicz and Lorentz-Orlicz spaces. These operators are naturally linked with Moser's lemma, O'Neil's convolution inequality, and estimates for functions with prescribed rearrangement. We give sufficient conditions for and very simple proofs...
Deficiency Indices of Singular Schrödinger Operators.
Horst Behncke, Heinz Focke (1978)
Mathematische Zeitschrift
Deformation from symmetry for Schrödinger equations of higher order on unbounded domains.
Salvatore, Addolorata, Squassina, Marco (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Degenerate diffusive SEIR model with logistic population control.
Aliziane, T., Langlais, M. (2006)
Acta Mathematica Universitatis Comenianae. New Series
Degenerate Eikonal equations with discontinuous refraction index
Pierpaolo Soravia (2006)
ESAIM: Control, Optimisation and Calculus of Variations
We study the Dirichlet boundary value problem for eikonal type equations of ray light propagation in an inhomogeneous medium with discontinuous refraction index. We prove a comparison principle that allows us to obtain existence and uniqueness of a continuous viscosity solution when the Lie algebra generated by the coefficients satisfies a Hörmander type condition. We require the refraction index to be piecewise continuous across Lipschitz hypersurfaces. The results characterize the value...
Degenerate triply nonlinear problems with nonhomogeneous boundary conditions
Kaouther Ammar (2010)
Open Mathematics
The paper addresses the existence and uniqueness of entropy solutions for the degenerate triply nonlinear problem: b(v)t − div α(v, ▽g(v)) = f on Q:= (0, T) × Ω with the initial condition b(v(0, ·)) = b(v 0) on Ω and the nonhomogeneous boundary condition “v = u” on some part of the boundary (0, T) × ∂Ω”. The function g is continuous locally Lipschitz continuous and has a flat region [A 1, A 2,] with A 1 ≤ 0 ≤ A 2 so that the problem is of parabolic-hyperbolic type.
Degeneration of effective diffusion in the presence of periodic potential
Serguei M. Kozlov, Andrei L. Piatnitski (1996)
Annales de l'I.H.P. Probabilités et statistiques
Density-dependent incompressible fluids with non-Newtonian viscosity
F. Guillén-González (2004)
Czechoslovak Mathematical Journal
We study the system of PDEs describing unsteady flows of incompressible fluids with variable density and non-constant viscosity. Indeed, one considers a stress tensor being a nonlinear function of the symmetric velocity gradient, verifying the properties of -coercivity and -growth, for a given parameter . The existence of Dirichlet weak solutions was obtained in [2], in the cases if or if , being the dimension of the domain. In this paper, with help of some new estimates (which lead...
Dépendance continue de solutions généralisées locales
Mohamed Maliki, Hamidou Touré (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Dependence of a differential equation on the first eigenvalue of a suitable problem
Jan Bochenek (1980)
Annales Polonici Mathematici
Dependence of fractional powers of elliptic operators on boundary conditions
Pavel E. Sobolevskii (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
The realization of an elliptic operator A under suitable boundary conditions is considered and the dependence of the square-root of A from the various conditions is studied.
Derivation of a homogenized two-temperature model from the heat equation
Laurent Desvillettes, François Golse, Valeria Ricci (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential equations governing the evolution of the temperature of each phase at a macroscopic level of description. The coupling terms describing the exchange of heat between the phases are obtained by using homogenization techniques originating from [D. Cioranescu, F. Murat,...