On the summability of formal solutions for doubly singular nonlinear partial differential equations
From MaRDI portal
Publication:437068
DOI10.1007/s10883-012-9134-7zbMath1250.35062OpenAlexW1993405248MaRDI QIDQ437068
Publication date: 17 July 2012
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-012-9134-7
Singular perturbations in context of PDEs (35B25) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Integro-partial differential equations (35R09)
Related Items
On parametric Gevrey asymptotics for some initial value problems in two asymmetric complex time variables ⋮ Strongly regular multi-level solutions of singularly perturbed linear partial differential equations ⋮ Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients ⋮ On \(q\)-Gevrey asymptotics for singularly perturbed \(q\)-difference-differential problems with an irregular singularity ⋮ On the parametric Stokes phenomenon for solutions of singularly perturbed linear partial differential equations ⋮ Unnamed Item ⋮ On parametric Gevrey asymptotics for some Cauchy problems in quasiperiodic function spaces ⋮ On the summability of the solutions of the inhomogeneous heat equation with a power-law nonlinearity and variable coefficients ⋮ On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems ⋮ Some Notes on the Multi-Level Gevrey Solutions of Singularly Perturbed Linear Partial Differential Equations ⋮ On singularly perturbed small step size difference-differential nonlinear PDEs ⋮ Summability of the formal power series solutions of a certain class of inhomogeneous partial differential equations with a polynomial semilinearity and variable coefficients ⋮ Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity ⋮ Gevrey properties and summability of formal power series solutions of some inhomogeneous linear Cauchy-Goursat problems ⋮ Gevrey regularity of the solutions of the inhomogeneous partial differential equations with a polynomial semilinearity ⋮ Gevrey index theorem for the inhomogeneous n-dimensional heat equation with a power-law nonlinearity and variable coefficients ⋮ On parametric Gevrey asymptotics for singularly perturbed partial differential equations with delays ⋮ Strongly regular sequences and proximate orders
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monomial summability and doubly singular differential equations
- The hyperbolic singular perturbation problem: An operator theoretic approach
- Multisummability of formal power series solutions of nonlinear meromorphic differential equations
- A new proof of summability of formal solutions of nonlinear meromorphic differential equations
- The method of Frobenius to Fuchsian partial differential equations
- Propagation of singularities for Fuchsian operators
- Multisummability of formal solutions of singular perturbation problems
- Singularly perturbed problems in partial differential equations: A survey
- Multisummability of formal solutions of some linear partial differential equations
- Removable singularities of holomorphic solution of linear partial differential equations
- Summability of divergent series
- Formal power series and linear systems of meromorphic ordinary differential equations
- On singularly perturbed partial integro-differential equations with irregular singularity
- Nonlinear Fuchs operators
- Existence and non-existence of null-solutions for some non-Fuchsian partial differential operators with T-dependent coefficients
- Problèmes de Cauchy pour des opérateurs singuliers
- Analytic Regularity for a Singularly Perturbed Problem
- On a conjecture of Wolfgang Wasow in linear turning point theory
- Gevrey solutions of singularly perturbed differential equations
- Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity
This page was built for publication: On the summability of formal solutions for doubly singular nonlinear partial differential equations
