Results 51 to 60 of about 3,445 (164)
Taming the terminological tempest in invasion science
Biological Reviews, Volume 99, Issue 4, Page 1357-1390, August 2024.ABSTRACT Standardised terminology in science is important for clarity of interpretation and communication. In invasion science – a dynamic and rapidly evolving discipline – the proliferation of technical terminology has lacked a standardised framework for its development.
Ismael Soto +84 more
wiley +1 more source
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
KdV-type equations in projective Gevrey classes
, 2022 We prove well-posedness of the Cauchy problem for a class of third order quasilinear evolution equations with variable coefficients in projective Gevrey spaces. The class considered is connected with several equations in Mathematical Physics as the KdV and KdVB equation and some of their many generalizations.
Junior, Alexandre Arias +2 more
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Taylor dispersion and phase mixing in the non‐cutoff Boltzmann equation on the whole space
Proceedings of the London Mathematical Society, Volume 129, Issue 1, July 2024.Abstract In this paper we describe the long‐time behavior of the non‐cutoff Boltzmann equation with soft potentials near a global Maxwellian background on the whole space in the weakly collisional limit (that is, infinite Knudsen number 1/ν→∞$1/\nu \rightarrow \infty$). Specifically, we prove that for initial data sufficiently small (independent of the
Jacob Bedrossian +2 more
wiley +1 more source
Soft Riemann‐Hilbert problems and planar orthogonal polynomials
Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley +1 more source
Resurgent aspects of applied exponential asymptotics
Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
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Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.For q > 1, a new Green’s function provides solutions of inhomogeneous multiplicatively advanced ordinary differential equations (iMADEs) of form y(N)(t) − Ay(qt) = f(t) for t ∈ [0, ∞). Such solutions are extended to global solutions on ℝ. Applications to inhomogeneous separable multiplicatively advanced partial differential equations are presented ...
David W. Pravica +3 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.We examine a linear q−difference differential equation, which is singular in complex time t at the origin. Its coefficients are polynomial in time and bounded holomorphic on horizontal strips in one complex space variable. The equation under study represents a q−analog of a singular partial differential equation, recently investigated by the author ...
Stéphane Malek, Rosanna Manzo
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Gevrey Classes on Compact Real Analytic Riemannian Manifolds
Tokyo Journal of Mathematics, 1995 The authors study Gevrey classes on compact real analytic Riemannian manifolds \(X\) (without boundary) characterizing them by means of the growth behaviour of the coefficients of eigenfunctions expansions for the Laplace-Beltrami operator corresponding to the metric \(g\) of \(X\). Special attention paid to the case \(X\) is the \(n\)-dimensional unit
FUJITA, Keiko, MORIMOTO, Mitsuo
openaire +3 more sources
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]
Philos Trans A Math Phys Eng Sci, 2023 Bachmann L +3 more
europepmc +1 more source