Summability of the Formal Power Series Solutions of a Certain Class of Inhomogeneous Partial Differential Equations with a Polynomial Semilinearity and Variable Coefficients

Author:

Remy PascalORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference47 articles.

1. Balser, W.: Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations. Universitext. Springer, New York (2000)

2. Balser, W., Loday-Richaud, M.: Summability of solutions of the heat equation with inhomogeneous thermal conductivity in two variables. Adv. Dyn. Syst. Appl. 4(2), 159–177 (2009)

3. Costin, O., Park, H., Takei, Y.: Borel summability of the heat equation with variable coefficients. J. Differ. Equ. 252(4), 3076–3092 (2012)

4. Hibino, M.: Borel summability of divergence solutions for singular first-order partial differential equations with variable coefficients. I & II. J. Differ. Equ. 227(2), 499–563 (2006)

5. Hibino, M.: On the summability of divergent power series solutions for certain first-order linear PDEs. Opusc. Math. 35(5), 595–624 (2015)

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