Results 61 to 70 of about 3,848 (132)
The Cheeger problem in abstract measure spaces
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We consider nonnegative σ$\sigma$‐finite measure spaces coupled with a proper functional P$P$ that plays the role of a perimeter. We introduce the Cheeger problem in this framework and extend many classical results on the Cheeger constant and on Cheeger sets to this setting, requiring minimal assumptions on the pair measure space perimeter ...
Valentina Franceschi +3 more
wiley +1 more source
A symplectic extension map and a new Shubin class of pseudo-differential operators
, 2014 For an arbitrary pseudo-differential operator $A:\mathcal{S}(\mathbb{R}% ^{n})\longrightarrow\mathcal{S}^{\prime}(\mathbb{R}^{n})$ with Weyl symbol $a\in\mathcal{S}^{\prime}(\mathbb{R}^{2n})$, we consider the pseudo-differential operators $\widetilde{A}:\
Bastos +25 more
core +1 more source
On a class of partially hypoelliptic microdifferential equations
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1987 Let M be a real analytic manifold with a complexification X. We consider the microdifferential equation defined in a neighborhood of \(\rho_ 0\in \dot T^*_ MX\) whose principal symbol is written in the form (1) \(p=p_ 1+\sqrt{-1}q_ 1^{2m}p_ 2\) in a neighborhood of \(\rho_ 0\in \dot T^*_ MX\).
Tose, Nobuyuki, Uchida, Moto-o
openaire +3 more sources
Hypoelliptic Degenerate Evolution Equations of the Second Order
Publications of the Research Institute for Mathematical Sciences, 1975 For degenerate parabolic differential operators, the study of hypoellipticity has been made by many authors (see [1]~[9]). But for degenerate ]?-parabolie differential operators, its study has not been made so detailed (see F. Treves [10]). So we shall give a sufficient condition for the operator given by (0.1) to be hypoelliptic by constructing very ...
openaire +2 more sources
Concentrations in kinetic transport equations and hypoellipticity
, 2010 31 pages, 1 figure Paper withdrawn.
Arsénio, Diogo, Saint-Raymond, Laure
openaire +2 more sources
Hypoellipticity: Geometrization and Speculation
, 1998 To any finite collection of smooth real vector fields $X_j$ in $\reals^n$ we associate a metric in the phase space $T^*\reals^n$. The relation between the asymptotic behavior of this metric and hypoellipticity of $\sum X_j^2$, in the smooth, real ...
Christ, Michael
core +4 more sources
Characteristic Laplacian in sub-Riemannian geometry
, 2013 We study a Laplacian operator related to the characteristic cohomology of a smooth manifold endowed with a distribution. We prove that this Laplacian does not behave very well: it is not hypoelliptic in general and does not respect the bigrading on forms
Daniel, Jeremy, Ma, Xiaonan
core
Hopf bifurcation without parameters in deterministic and stochastic modeling of cancer virotherapy, part II. [PDF]
J Math Anal Appl, 2022 Phan TA, Tian JP.
europepmc +1 more source
A bio-inspired geometric model for sound reconstruction. [PDF]
J Math Neurosci, 2021 Boscain U +3 more
europepmc +1 more source