The Stokes phenomenon for certain partial differential equations with meromorphic initial data

DOI10.3233/ASY-161379zbMath1353.35284arXiv1603.04209OpenAlexW3106021988MaRDI QIDQ2831515

Bożena Podhajecka, Sławomir Michalik

Publication date: 10 November 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04209

zbMATH Keywords

heat equationBorel summabilityStokes phenomenon

Mathematics Subject Classification ID

Related Items (1)

The Stokes phenomenon for some moment partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• On \(k\)-summability of formal solutions for a class of partial differential operators with time dependent coefficients
• Borel summability of the heat equation with variable coefficients
• On the summability of formal solutions of linear partial differential equations
• On the multisummability of divergent solutions of linear partial differential equations with constant coefficients
• Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke
• Multisummability of formal power series solutions of partial differential equations with constant coefficients
• Integral representation for Borel sum of divergent solution to a certain non-Kowalevski type equation
• Summability of formal solutions of linear partial differential equations with divergent initial data
• The Borel summable solutions of heat operators on a real analytic manifold
• Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations
• On Borel summable solutions of the multidimensional heat equation
• Gevrey Order of Formal Power Series Solutions of Inhomogeneous Partial Differential Equations with Constant Coefficients
• Borel summable solutions of the Burgers equation
• On the Borel summability of divergent solutions of the heat equation
• Analytic Solutions of Moment Partial Differential Equations with Constant Coefficients
• The Borel sum of divergent Barnes hypergeometric series and its application to a partial differential equation

This page was built for publication: The Stokes phenomenon for certain partial differential equations with meromorphic initial data