On Borel summable solutions of the multidimensional heat equation

Sławomir Michalik

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Displaying similar documents to “On Borel summable solutions of the multidimensional heat equation”

Borel summability for a formal solution of ∂/∂t u(t,x) = (∂/∂x)² u(t,x) + t(t∂/∂t)³ u(t,x)

Hiroshi Yamazawa (2012)

Banach Center Publications

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In this paper we study the Borel summability of a certain divergent formal power series solution for an initial value problem. We show the Borel summability under the condition that an initial value function ϕ(x) is an entire function of exponential order at most 2.

Convergence, via summability, of formal power series solutions to a certain class of completely integrable Pfaffian systems

Sanz, Javier

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Divergence and summability of normal forms of systems of differential equations with nilpotent linear part

Mireille Canalis-Durand, Reinhard Schäfke (2004)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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On the relation between the Borel sum and the classical solution of the Cauchy problem for certain partial differential equations

Kunio Ichinobe (2005)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations

Werner Balser (2005)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Analyzability in the context of PDEs and applications

Ovidiu Costin, Saleh Tanveer (2004)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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