Formal solutions of some family of inhomogeneous nonlinear partial differential equations. II: Summability (Q6650134)

scientific article; zbMATH DE number 7955377

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English	Formal solutions of some family of inhomogeneous nonlinear partial differential equations. II: Summability	scientific article; zbMATH DE number 7955377

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Formal solutions of some family of inhomogeneous nonlinear partial differential equations. II: Summability (English)

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6 December 2024

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zbMATH Keywords

nonlinear partial differential equation

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inhomogeneous partial differential equation

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formal power series

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divergent power series

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Newton polygon

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Gevrey regularity

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summability

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Publication

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cites work

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

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Summable solutions of the Goursat problem for some partial differential equations with constant coefficients

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Multisummability of formal solutions of some linear partial differential equations

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Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations

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On the summability of formal solutions of nonlinear partial differential equations with shrinkings

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Borel resummation of formal solutions to nonlinear Laplace equations in 2 variables

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Gevrey order and summability of formal series solutions of some classes of inhomogeneous linear partial differential equations with variable coefficients

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Summability of the formal power series solutions of a certain class of inhomogeneous partial differential equations with a polynomial semilinearity and variable coefficients

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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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Gevrey regularity and summability of the formal power series solutions of the inhomogeneous generalized Boussinesq equations

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Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. I

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Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. II

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Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields

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Gevrey order and summability of formal series solutions of certain classes of inhomogeneous linear integro-differential equations with variable coefficients

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Q4649619

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Summability of divergent series

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.PHYSD.2024.134420

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Sitelinks

Mathematics(1 entry)

mardi Publication:6650134