Results 11 to 20 of about 3,682,860 (177)

The Baouendi-Treves approximation theorem for Gevrey classes and applications [PDF]

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2019
In this work we show how to extend the seminal Baouendi-Treves approximation theorem for Gevrey functions and ultradistributions. As applications we present a Gevrey version of the approximate Poincare Lemma and study ultradistributions vanishing on ...
G. Hoepfner, Renan D. Medrado, Luis F. Ragognette   +2 more
semanticscholar   +1 more source

Regularity Analysis for an Abstract System of Coupled Hyperbolic and Parabolic Equations [PDF]

, 2014
In this paper, we provide a complete regularity analysis for an abstract system of coupled hyperbolic and parabolic equations in a complex Hilbert space.
Hao, Jianghao, Liu, Zhuangyi, Yong, Jiongmin   +2 more
core   +1 more source

Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations

Communications on Pure and Applied Mathematics, Volume 76, Issue 12, Page 3685-3768, December 2023., 2023
Abstract We investigate the long‐time properties of the two‐dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size ε. Under the classical Miles‐Howard stability condition on the Richardson number, we prove that the system experiences a shear‐buoyancy instability: the density variation
Jacob Bedrossian, Roberta Bianchini, Michele Coti Zelati, Michele Dolce   +3 more
wiley   +1 more source

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis

Open Mathematics, 2020
Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
doaj   +1 more source

Eigenfunction expansions of ultradifferentiable functions and ultradistributions [PDF]

, 2016
In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold $X$.
Dasgupta, Aparajita, Ruzhansky, Michael
core   +3 more sources

Resurgence of a de Sitter Glauber‐Sudarshan State: Nodal Diagrams and Borel Resummation

Fortschritte der Physik, Volume 71, Issue 12, December 2023., 2023
Abstract It is shown in this article that an explicit construction of a four‐dimensional de Sitter space may be performed using a diagrammatic approach via nodal diagrams emanating from the path integral representation of the Glauber‐Sudarshan state. Sum of these diagrams typically leads to an asymptotic series of Gevrey kind which can then be Borel ...
Suddhasattwa Brahma, Keshav Dasgupta, Mir‐Mehedi Faruk, Bohdan Kulinich, Viraj Meruliya, Brent Pym, Radu Tatar   +6 more
wiley   +1 more source

On a Watson-like Uniqueness Theorem and Gevrey Expansions [PDF]

, 2005
We present a maximal class of analytic functions, elements of which are in one-to-one correspondence with their asymptotic expansions. In recent decades it has been realized (B. Malgrange, J. Ecalle, J.-P. Ramis, Y.
A. D. Sokal, D. W. H. Gillam, E. T. Whittaker, F. Nevanlinna, G. H. Hardy, G. N. Watson, G. N. Watson, J.-P. Ramis, J.-P. Ramis, L. V. Ahlfors, M. Gevrey, M. J. Abramowitz, M. Sodin, S. Graffi, S. Warschawski, T. Carleman, T. Carleman, V. P. Gurarii   +17 more
core   +2 more sources

Global flows of insect transport and establishment: The role of biogeography, trade and regulations

Diversity and Distributions, Volume 29, Issue 11, Page 1478-1491, November 2023., 2023
Abstract Aim Non‐native species are part of almost every biological community worldwide, yet numbers of species establishments have an uneven global distribution. Asymmetrical exchanges of species between regions are likely influenced by a range of mechanisms, including propagule pressure, native species pools, environmental conditions and biosecurity.
Gyda Fenn‐Moltu, Sébastien Ollier, Olivia K. Bates, Andrew M. Liebhold, Helen F. Nahrung, Deepa S. Pureswaran, Takehiko Yamanaka, Cleo Bertelsmeier   +7 more
wiley   +1 more source

Smooth Gevrey normal forms of vector fields near a fixed point [PDF]

, 2013
We study germs of smooth vector fields in a neighborhood of a fixed point having an hyperbolic linear part at this point. It is well known that the "small divisors" are invisible either for the smooth linearization or normal form problem.
Stolovitch, Laurent
core   +4 more sources

Exponential expressivity of ReLUk neural networks on Gevrey classes with point singularities [PDF]

Applied Mathematics
We analyze deep Neural Network emulation rates of smooth functions with point singularities in bounded, polytopal domains D ⊂ ℝd, d = 2, 3. We prove exponential emulation rates in Sobolev spaces in terms of the number of neurons and in terms of the ...
J. Opschoor, Christoph Schwab
semanticscholar   +1 more source