On Gevrey asymptotics for some nonlinear integro-differential equations

DOI10.1007/s10883-010-9098-4zbMath1203.35066OpenAlexW2038564036MaRDI QIDQ619283

Stéphane Malek

Publication date: 24 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-010-9098-4

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Cauchy-Kovalevskaya theorems (35A10)

Related Items

On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems, Double-scale Gevrey asymptotics for logarithmic type solutions to singularly perturbed linear initial value problems, On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities, On singular solutions to PDEs with turning point involving a quadratic nonlinearity, Gevrey asymptotics for logarithmic-type solutions to singularly perturbed problems with nonlocal nonlinearities, Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients, Small divisors effects in some singularly perturbed initial value problem with irregular singularity, Unnamed Item, On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms, On the summability of the solutions of the inhomogeneous heat equation with a power-law nonlinearity and variable coefficients, On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems, On parametric multilevel \(q\)-Gevrey asymptotics for some linear \(q\)-difference-differential equations, On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms, Summability of the formal power series solutions of a certain class of inhomogeneous partial differential equations with a polynomial semilinearity and variable coefficients, Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity, Gevrey properties and summability of formal power series solutions of some inhomogeneous linear Cauchy-Goursat problems, Gevrey regularity of the solutions of the inhomogeneous partial differential equations with a polynomial semilinearity, Gevrey index theorem for the inhomogeneous n-dimensional heat equation with a power-law nonlinearity and variable coefficients, On a partial \(q\)-analog of a singularly perturbed problem with Fuchsian and irregular time singularities, On the multiple-scale analysis for some linear partial \(q\)-difference and differential equations with holomorphic coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Summability of formal power-series solutions of partial differential equations with constant coefficients
• Entire solutions of hydrodynamical equations with exponential dissipation
• Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
• Formal power series and linear systems of meromorphic ordinary differential equations
• Analytic solutions of Volterra equations via semigroups
• Regularity of solutions to vorticity Navier-Stokes system on \(\mathbb R^{2}\)
• Evolutionary Integral Equations and Applications
• Global smooth solutions for a class of parabolic integrodifferential equations
• The Borel sum of divergent Barnes hypergeometric series and its application to a partial differential equation