Borel summability of the heat equation with variable coefficients
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Publication:665976
DOI10.1016/j.jde.2011.11.026zbMath1241.40005OpenAlexW1995833531MaRDI QIDQ665976
Publication date: 7 March 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2011.11.026
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Cites Work
- Summability of formal solutions to the \(n\)-dimensional inhomogeneous heat equation
- Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke
- Multisummability of formal solutions of some linear partial differential equations
- Multisummability of formal power series solutions of partial differential equations with constant coefficients
- Nonlinear evolution PDEs in \(\mathbb R^+ \times \mathbb C^d\): existence and uniqueness of solutions, asymptotic and Borel summability properties
- Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields
- Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. I
- On the Borel summability of divergent solutions of the heat equation
- Borel summation of adiabatic invariants
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