Results 51 to 60 of about 1,300,131 (168)

Global solvability of the Kirchhoff equation with Gevrey data [PDF]

, 2015
application/pdfThis paper is devoted to proving the global solvability of the Cauchy problem for the Kirchhoff equation in the Gevrey space \\gamma^{\\infty}_{L^2} . More precise results are derived for solutions in the s-Gevrey classes \\gamma^{s}_{L^2}
23339, MATSUYAMA, Tokio, Ruzhansky, Michael, 23347   +3 more
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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

Houdar de La Motte. Textes critiques : les raisons du sentiment

, 2002
International audienceédition critique avec introduction et notes dirigée par Françoise Gevrey et Béatrice ...
Guion, Béatrice, Gevrey, Françoise
core   +2 more sources

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
wiley   +1 more source

Solutions of Inhomogeneous Multiplicatively Advanced ODEs and PDEs with a q‐Fredholm Theory and Applications to a q‐Advanced Schrödinger Equation

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, Njinasoa Randriampiry, Michael J. Spurr, Paul Eloe   +3 more
wiley   +1 more source

A parametrised version of Moser's modifying terms theorem [PDF]

A sharpened version of Moser's `modifying terms' KAM theorem is derived, and it is shown how this theorem can be used to investigate the persistence of invariant tori in general situations, including those where some of the Floquet exponents of the ...
Wagener, F.O.O.
core  

FBI transform in Gevrey classes and Anosov flows

Astérisque
v2: Main result improved with respect to v1.
Bonthonneau, Yannick Guedes, Jézéquel, Malo   +1 more
openaire   +2 more sources

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

, 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 Poincar\'e Lemma and study ultradistributions vanishing on ...
Ragognette, Luis F., Hoepfner, Gustavo, Medrado, Renan D., Gustavo Hoepfner, Renan Medrado, Luis Fernando Ragognette   +5 more
core   +1 more source

Gevrey class regularity for the viscous Camassa–Holm equations

Applied Mathematics Letters, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongjiang Yu, Kaitai Li
openaire   +1 more source

Well posedness of the Cauchy problem for nonlinear weakly hyperbolic equations

, 1999
The authors study well-posedness of the Cauchy problem for several classes of nonlinear (semilinear) weakly hyperbolic equations. It is assumed that the principal part of the operator possesses real characteristic roots of constant multiplicity, and that
ZANGHIRATI, Luisa, CICOGNANI M.
core