Summability of divergent solutions of the \(n\)-dimensional heat equation
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Publication:855813
DOI10.1016/j.jde.2006.06.005zbMath1105.35025OpenAlexW1979584190MaRDI QIDQ855813
Publication date: 7 December 2006
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2006.06.005
Heat equation (35K05) Series solutions to PDEs (35C10) Initial value problems for second-order parabolic equations (35K15)
Related Items (13)
Summability and fractional linear partial differential equations ⋮ Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients ⋮ Multisummability of formal solutions of inhomogeneous linear partial differential equations with constant coefficients ⋮ On the summability of the solutions of the inhomogeneous heat equation with a power-law nonlinearity and variable coefficients ⋮ Mean-value properties of real analytic functions ⋮ Summability of formal solutions to the \(n\)-dimensional inhomogeneous heat equation ⋮ Formal solutions of semilinear heat equations ⋮ 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 ⋮ On the multisummability of divergent solutions of linear partial differential equations with constant coefficients ⋮ Gevrey properties and summability of formal power series solutions of some inhomogeneous linear Cauchy-Goursat problems ⋮ Gevrey index theorem for the inhomogeneous n-dimensional heat equation with a power-law nonlinearity and variable coefficients ⋮ Summability of the formal power series solutions of a certain class of inhomogeneous nonlinear partial differential equations with a single level
Cites Work
- Multisummability of formal power series solutions of nonlinear meromorphic differential equations
- 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
- Integral representation for Borel sum of divergent solution to a certain non-Kowalevski type equation
- Summability of divergent series
- Formal power series and linear systems of meromorphic ordinary differential equations
- On the Borel summability of divergent solutions of the heat equation
- The Borel sum of divergent Barnes hypergeometric series and its application to a partial differential equation
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