output
19942026
most citedArea laws for the entanglement entropy - a review

2.9k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2013 · math.APShow all

9 papers · 2 filters

math.AP2013★ 2 cited

Local Strong Solutions for the Non-Linear Thermoelastic Plate Equation on Rectangular Domains in -Spaces

Stephan Fackler, Tobias Nau

We consider the non-linear thermoelastic plate equation in rectangular domains . More precisely, is considered to be given as the Cartesian product of whole or half spaces a…

math.AP2013

Maximal Regularity for Non-Autonomous Second Order Cauchy Problems

Dominik Dier, El Maati Ouhabaz

We consider non-autonomous wave equations \[ \left\{ \begin{aligned} \&\ddot u(t) + \B(t)\dot u(t) + \A(t)u(t) = f(t) \quad t\text{-a.e.}\\ \&u(0)=u_0,\, \dot u(0) = u_1. \end{alig…

math.AP2013

Kernel estimates for nonautonomous Kolmogorov equations

M. Kunze, L. Lorenzi, A. Rhandi

Using time dependent Lyapunov functions, we prove pointwise upper bounds for the heat kernels of some nonautonomous Kolmogorov operators with possibly unbounded drift and diffusion…

math.AP2013★ 1 cited

Strong solutions in the dynamical theory of compressible fluid mixtures

Matthias Kotschote, Rico Zacher

In this paper we investigate the compressible Navier-Stokes-Cahn-Hilliard equations (the so-called NSCH model) derived by Lowengrub and Truskinowsky. This model describes the flow…

math.AP2013

Analytical aspects of isospectral drums

W. Arendt, A. F. M. ter Elst, J. B. Kennedy

We reexamine the proofs of isospectrality of the counterexample domains to Kac' question `Can one hear the shape of a drum?' from an analytical viewpoint. We reformulate isospectra…

math.AP2013★ 71 cited

The Dirichlet-to-Neumann operator via hidden compactness

W. Arendt, A. F. M. ter Elst, J. B. Kennedy +1

We show that to each symmetric elliptic operator of the form \[ \mathcal{A} = - \sum \partial_k \, a_{kl} \, \partial_l + c \] on a bounded Lipschitz domain …

math.AP2013★ 15 cited

Diffusion in networks with time-dependent transmission conditions

Wolfgang Arendt, Dominik Dier, Marjeta Kramar Fijavž

We study diffusion in a network which is governed by non-autonomous Kirchhoff conditions at the vertices of the graph. Also the diffusion coefficients may depend on time. We prove…

math.AP2013★ 21 cited

Construction of exact travelling waves for the Benjamin-Bona-Mahony equation on networks

Delio Mugnolo, Jean-François Rault

We are interested in the existence of travelling waves for the Benjamin-Bona-Mahony equation on a network. First we construct an explicit wave, defined in . Then, we us…

math.AP2013★ 4 cited

Diffusion processes on an interval under linear moment conditions

Delio Mugnolo, Serge Nicaise

We discuss a class of diffusion-type partial differential equations on a bounded interval and discuss the possibility of replacing the boundary conditions by certain linear conditi…