Results 31 to 40 of about 3,471 (160)
On the Gevrey regularity for Sums of Squares of vector fields, study of some models
The micro-local Gevrey regularity of a class of "sums of squares" with real analytic coefficients is studied in detail.
Chinni, Gregorio
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ABSTRACT Understanding how the environment shapes species distribution and affects biodiversity patterns is important in ecology and conservation. Environmental stressors like climate change and anthropogenic impacts may lead to a significant decline in aquatic biodiversity.
Mojgan Zare Shahraki +6 more
wiley +1 more source
Partial hyperbolicity and partial gevrey classes
Let P(D) be a linear partial differential operator of order m > 0 with constant coefficients in R” + ‘. Let d = (d,, d, ,..., d,) E R”+ i, 0 0 be an integer.
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Inhomogeneous Gevrey classes and ultradistributions
Starting from the definition of inhomogeneous Gevrey classes given by \textit{O. Liess} and \textit{L. Rodino} [Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 3, 233--323 (1984; Zbl 0557.35131)], the authors introduce the non-quasi-analytic inhomogeneous Gevrey classes of Roumieu type, denoted by \(G^{s, \lambda}.\) Such a class of ...
D. Calvo +2 more
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Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds
ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
wiley +1 more source
Analyticity and Gevrey-class regularity for the second-grade fluid equations
We address the global persistence of analyticity and Gevrey-class regularity of solutions to the two and three-dimensional visco-elastic second-grade fluid equations.
Paicu, Marius, Vicol, Vlad
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Global Warming Has Imbalance Impact on Soil Nitrogen Transformation Rates
Abstract Global warming is projected to significantly influence soil nitrogen (N) transformations, yet a comprehensive understanding of the spatial distribution of these effects and the underlying driving factors at a large scale remains limited. This study employs a Random Forest model to develop nonlinear temperature sensitivity (Q10) models for soil
Di Zhao +6 more
wiley +1 more source
Interpolation of derivatives and ultradifferentiable regularity
Abstract Interpolation inequalities for Cm$C^m$ functions allow to bound derivatives of intermediate order 0
Armin Rainer, Gerhard Schindl
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Solvability of a system of totally characteristic equations related to Kahler metrics
We consider a system of equations composed of a higher order singular partial differential equation of totally characteristic type and several higher order non-Kowalevskian linear equations. This system is a higher order version of a system that arose
Jose Ernie C. Lope, Mark Philip F. Ona
doaj
Umbral Theory and the Algebra of Formal Power Series
Umbral theory, formulated in its modern version by S. Roman and G. C. Rota, has been reconsidered in more recent times by G. Dattoli and collaborators with the aim of devising a working computational tool in the framework of special function theory ...
Roberto Ricci
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