Operator estimates in homogenization theory
VV Zhikov, SE Pastukhova - Russian Mathematical Surveys, 2016 - iopscience.iop.org
This paper gives a systematic treatment of two methods for obtaining operator estimates: the
shift method and the spectral method. Though substantially different in mathematical …
shift method and the spectral method. Though substantially different in mathematical …
Об операторных оценках в теории усреднения
ВВ Жиков, СЕ Пастухова - Успехи математических наук, 2016 - mathnet.ru
В работе дано систематическое изложение двух методов получения операторных
оценок: метода сдвига и спектрального метода. Эти методы сильно различаются по …
оценок: метода сдвига и спектрального метода. Эти методы сильно различаются по …
The Hardy inequality and the heat equation in twisted tubes
D Krejčiřík, E Zuazua - Journal de mathématiques pures et appliquées, 2010 - Elsevier
We show that a twist of a three-dimensional tube of uniform cross-section yields an improved
decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The …
decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The …
Complexity of large time behaviour of evolution equations with bounded data
JL Vázquez, E Zuazua - Chinese Annals of Mathematics, 2002 - World Scientific
The authors study the asymptotic behaviour of solutions of the heat equation and a number
of evolution equations using scaling techniques. It is proved that in the framework of …
of evolution equations using scaling techniques. It is proved that in the framework of …
Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation
R Joly, J Royer - Journal of the Mathematical Society of Japan, 2018 - jstage.jst.go.jp
We prove local and global energy decay for the asymptotically periodic damped wave
equation on the Euclidean space. Since the behavior of high frequencies is already mostly …
equation on the Euclidean space. Since the behavior of high frequencies is already mostly …
Asymptotic expansion for damped wave equations with periodic coefficients
ASYMPTOTIC EXPANSION FOR DAMPED WAVE EQUATIONS WITH PERIODIC
COEFFICIENTS Page 1 September 10, 2001 15:44 WSPC/103-M3AS 00133 Mathematical …
COEFFICIENTS Page 1 September 10, 2001 15:44 WSPC/103-M3AS 00133 Mathematical …
Decay estimates for 1-D parabolic PDEs with boundary disturbances
I Karafyllis, M Krstic - ESAIM: Control, Optimisation and Calculus of …, 2018 - esaim-cocv.org
In this work, decay estimates are derived for the solutions of 1-D linear parabolic PDEs with
disturbances at both boundaries and distributed disturbances. The decay estimates are …
disturbances at both boundaries and distributed disturbances. The decay estimates are …
Stability and diffusive dynamics on extended domains
We consider dissipative systems on the real axis in situations when the evolution is
dominated by a dynamics similar to the one of a linear diffusion equation. It is surprising that …
dominated by a dynamics similar to the one of a linear diffusion equation. It is surprising that …
Homogenization of a non-stationary periodic Maxwell system in the case of constant permeability
MA Dorodnyi, TA Suslina - Journal of Differential Equations, 2022 - Elsevier
Abstract In L 2 (R 3; C 3), we consider a selfadjoint operator L ε, ε> 0, given by the differential
expression μ− 1/2 curl η (x/ε)− 1 curl μ− 1/2− μ 1/2∇ ν (x/ε) div μ 1/2, where μ is a constant …
expression μ− 1/2 curl η (x/ε)− 1 curl μ− 1/2− μ 1/2∇ ν (x/ε) div μ 1/2, where μ is a constant …
How travelling waves attract the solutions of KPP-type equations
M Bages, P Martinez, JM Roquejoffre - Transactions of the American …, 2012 - ams.org
We consider in this paper a general reaction-diffusion equation of the KPP (Kolmogorov,
Petrovskiĭ, Piskunov) type, posed on an infinite cylinder. Such a model will have a family of …
Petrovskiĭ, Piskunov) type, posed on an infinite cylinder. Such a model will have a family of …