Results 41 to 50 of about 8,002 (202)

Local geometric properties of conductive transmission eigenfunctions and applications

European Journal of Applied Mathematics
The purpose of the paper is twofold. First, we show that partial-data transmission eigenfunctions associated with a conductive boundary condition vanish locally around a polyhedral or conic corner in $\mathbb{R}^n$ , $n=2,3$ .
Huaian Diao, Xiaoxu Fei, Hongyu Liu
doaj   +1 more source

Professor Mikio Sato and Microlocal Analysis

Publications of the Research Institute for Mathematical Sciences, 2011
We describe the impact of microlocal analysis on mathematical sciences and the role Prof. Mikio Sato played in its creation and development.
Kashiwara, Masaki, Kawai, Takahiro
openaire   +3 more sources

Environmental heterogeneity structures root‐associated fungal communities in Daphne arbuscula (Thymelaeaceae), a shrub adapted to extreme rocky habitats

Molecular Ecology, Volume 33, Issue 15, August 2024.
Abstract Rocky habitats, globally distributed ecosystems, harbour diverse biota, including numerous endemic and endangered species. Vascular plants thriving in these environments face challenging abiotic conditions, requiring diverse morphological and physiological adaptations.
Zuzana Gajdošová, Miroslav Caboň, Zuzana Kolaříková, Radka Sudová, Jana Rydlová, Ingrid Turisová, Peter Turis, Jaromír Kučera, Marek Slovák   +8 more
wiley   +1 more source

Microlocal analysis of quantum fields on curved spacetimes: Analytic wavefront sets and Reeh-Schlieder theorems

, 2002
We show in this article that the Reeh-Schlieder property holds for states of quantum fields on real analytic spacetimes if they satisfy an analytic microlocal spectrum condition.
Alexander Strohmaier, Beckman D., Borchers H. J., Bros J., Bros J., Bros J., Bros J., Bros J., Bros J., Brunetti R., Buchholz D., Buchholz D., Bär C., Dimock J., Duistermaat J. J., Fulling S. A., Halvorson H., Hollands S., Hollands S., Junker W., Jäkel C. D., Jäkel C. D., Kratzert K., Manfred Wollenberg, Radzikowski M. J., Rainer Verch, Sahlmann H., Sahlmann H., Strohmaier A., Summers S. J., Summers S. J., Verch R., Verch R., Wald R. M.   +33 more
core   +1 more source

Microlocal analysis of ultradistributions [PDF]

Proceedings of the American Mathematical Society, 1998
The ultradistributional wave front sets of an ultradistribution u u are characterized by the behaviour of K ∗ u K *u on the boundary of the tube domain D R n D \mathbf {R}^n , where K K is the ...
openaire   +2 more sources

The Metivier inequality and ultradifferentiable hypoellipticity

Mathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.
Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
wiley   +1 more source

An introduction to the distorted Fourier transform

Advanced Nonlinear Studies
This article is intended as an introduction to the distorted Fourier transform associated with a Schrödinger operator on the line or the half-line. This versatile tool has seen numerous applications in nonlinear PDE in recent years.
Ko Haram, Schlag Wilhelm
doaj   +1 more source

Algebraic Structure of Classical Field Theory: Kinematics and Linearized Dynamics for Real Scalar Fields

, 2019
We describe the elements of a novel structural approach to classical field theory, inspired by recent developments in perturbative algebraic quantum field theory.
Brunetti, Romeo, Fredenhagen, Klaus, Ribeiro, Pedro Lauridsen   +2 more
core   +1 more source

Geometric microlocal analysis in Denjoy–Carleman classes [PDF]

Pacific Journal of Mathematics, 2020
Section 6 was revised, in particular in Theorem 6.1 an additional condition on the weight sequence has to be assumed and its proof was adapted; several typos were fixed throughout the ...
openaire   +4 more sources