Multisummability of formal solutions of inhomogeneous linear partial differential equations with constant coefficients

DOI10.1007/s10883-012-9136-5zbMath1250.35063OpenAlexW2091516807MaRDI QIDQ437067

Sławomir Michalik

Publication date: 17 July 2012

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

Full work available at URL: https://doi.org/10.1007/s10883-012-9136-5

zbMATH Keywords

formal power seriesDuhamel principleBorel summabilityfractional linear PDEs with constant coefficientsGevrey asymptotic properties

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10) Fractional partial differential equations (35R11) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (12)

On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems ⋮ Gevrey order and summability of formal series solutions of some classes of inhomogeneous linear partial differential equations with variable coefficients ⋮ On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities ⋮ Gevrey order and summability of formal series solutions of certain classes of inhomogeneous linear integro-differential equations with variable coefficients ⋮ Solutions of linear systems of moment differential equations via generalized matrix exponentials ⋮ Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients ⋮ On the summability of the solutions of the inhomogeneous heat equation with a power-law nonlinearity and variable coefficients ⋮ Analytic and Summable Solutions of Inhomogeneous Moment Partial Differential Equations ⋮ Gevrey properties and summability of formal power series solutions of some inhomogeneous linear Cauchy-Goursat problems ⋮ Gevrey index theorem for the inhomogeneous n-dimensional heat equation with a power-law nonlinearity and variable coefficients ⋮ Summability of formal solutions for a family of generalized moment integro-differential equations ⋮ Summability of the formal power series solutions of a certain class of inhomogeneous nonlinear partial differential equations with a single level

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