Nonlinear evolution PDEs in ${R}^{+}\times {C}^{d}$ : existence and uniqueness of solutions, asymptotic and Borel summability properties

O. Costin; S. Tanveer

Displaying similar documents to “Nonlinear evolution PDEs in $R^{+} \times C^{d}$ : existence and uniqueness of solutions, asymptotic and Borel summability properties”

Resurgence of the Kontsevich-Zagier series

Ovidiu Costin, Stavros Garoufalidis (2011)

Annales de l’institut Fourier

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The paper is concerned with the resurgence of the Kontsevich-Zagier series $f (q) = \sum_{n = 0}^{\infty} (1 - q) \dots (1 - q^{n})$ We give an explicit formula for the Borel transform of the power series when $q = e^{1 / x}$ from which its analytic continuation, its singularities (all on the positive real axis) and the local monodromy can be manifestly determined. We also give two formulas (one involving the Dedekind eta function, and another involving the complex error function) for the right, left and median summation of the...

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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Convolution of radius functions on ℝ³

Konstanty Holly (1994)

Annales Polonici Mathematici

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We reduce the convolution of radius functions to that of 1-variable functions. Then we present formulas for computing convolutions of an abstract radius function on ℝ³ with various integral kernels - given by elementary or discontinuous functions. We also prove a theorem on the asymptotic behaviour of a convolution at infinity. Lastly, we deduce some estimates which enable us to find the asymptotics of the velocity and pressure of a fluid (described by the Navier-Stokes equations) in...

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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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 spectral properties of the Laplace operator via boundary perturbation.

Khelifi, Abdessatar (2007)

Applied Mathematics E-Notes [electronic only]

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Displaying similar documents to “Nonlinear evolution PDEs in R + × C d : existence and uniqueness of solutions, asymptotic and Borel summability properties”

Resurgence of the Kontsevich-Zagier series

Analyzability in the context of PDEs and applications

Convolution of radius functions on ℝ³

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

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

On spectral properties of the Laplace operator via boundary perturbation.

Displaying similar documents to “Nonlinear evolution PDEs in $R^{+} \times C^{d}$ : existence and uniqueness of solutions, asymptotic and Borel summability properties”