[图书][B] Wave phenomena: mathematical analysis and numerical approximation

W Dörfler, M Hochbruck, J Köhler, A Rieder… - 2023 - books.google.com
This book presents the notes from the seminar on wave phenomena given in 2019 at the
Mathematical Research Center in Oberwolfach. The research on wave-type problems is a …

Decay estimates for the wave and Dirac equations with a magnetic potential

P D'Ancona, L Fanelli - arXiv preprint math/0504370, 2005 - arxiv.org
We study the dispersive properties of the wave equation and the massless Dirac equation in
three space dimensions, perturbed with electromagnetic potentials. The potentials are …

Exponential decay of quasilinear Maxwell equations with interior conductivity

I Lasiecka, M Pokojovy, R Schnaubelt - Nonlinear Differential Equations …, 2019 - Springer
We consider a quasilinear nonhomogeneous, anisotropic Maxwell system in a bounded
smooth domain of R^ 3 R 3 with a strictly positive conductivity subject to the boundary …

[HTML][HTML] Boundary stabilization of quasilinear Maxwell equations

M Pokojovy, R Schnaubelt - Journal of Differential Equations, 2020 - Elsevier
We investigate an initial-boundary value problem for a quasilinear nonhomogeneous,
anisotropic Maxwell system subject to an absorbing boundary condition of Silver & Müller …

Strichartz estimates for Maxwell equations in media: the partially anisotropic case

R Schippa - Communications in Partial Differential Equations, 2024 - Taylor & Francis
We prove Strichartz estimates for solutions to Maxwell equations in three dimensions with
rough permittivities, which have less than three different eigenvalues. To this end, Maxwell …

Global Strichartz estimates for an inhomogeneous Maxwell system

P D'Ancona, R Schnaubelt - Communications in Partial Differential …, 2022 - Taylor & Francis
We show global-in-time Strichartz estimates for the isotropic Maxwell system with
divergence free data. On the scalar permittivity and permeability we impose decay …

Decay estimates for hyperbolic systems

V Georgiev, S Lucente, G Ziliotti - Hokkaido mathematical journal, 2004 - projecteuclid.org
In this work we study the Sobolev spaces generated by pseudo-differential operators
associated with the group of symmetry of general first order hyperbolic systems. In these …

[PDF][PDF] Dispersive equations in quantum mechanics

L Fanelli - Rend. Mat. Appl.(7), 2008 - mat.uniroma1.it
Dispersive equations in Quantum Mechanics Page 1 Rendiconti di Matematica, Serie VII
Volume 28, Roma (2008), 237–384 Dispersive equations in Quantum Mechanics LUCA …

Curvature properties of the slowness surface of the system of crystal acoustics for cubic crystals

O Liess - 2008 - projecteuclid.org
In this paper we study geometric properties of the slowness surface of the system of crystal
acoustics for cubic crystals. In particular we shall study curvature properties of the surface …

Decay estimates for the solutions of the system of crystal acoustics for cubic crystals

O Liess - Asymptotic analysis, 2009 - content.iospress.com
The aim of this paper is to study decay estimates for global solutions of the system of linear
crystal elasticity in three space dimensions for cubic crystals in the generic nearly isotropic …