• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Analysis

On k-summability of formal solutions for a class of partial differential operators with time dependent coefficients

Article ID Journal Published Year Pages File Type
4610408 Journal of Differential Equations 2014 23 Pages PDF
Abstract
We study the k-summability of divergent formal solutions for the Cauchy problem of a certain class of linear partial differential operators with time dependent coefficients. The problem is reduced to a k-summability property of formal solutions for a linear similar ordinary differential equation associated with the Cauchy problem.
Keywords
Power series solutionCauchy problem
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On k-summability of formal solutions for a class of partial differential operators with time dependent coefficients
Authors
Kunio Ichinobe,
Related Articles
Dissipative boundary conditions for 2 × 2 hyperbolic systems of conservation laws for entropy solutions in BV
Slow motion for the 1D Swift–Hohenberg equation
Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles
Short-range scattering of Hartree type fractional NLS
Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity
Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation
Existence of traveling waves with the critical speed for a discrete diffusive epidemic model
Rough differential equations with unbounded drift term
On unified theory for scalar conservation laws with fluxes and sources discontinuous with respect to the unknown
Beyond the Melnikov method: A computer assisted approach
Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
Power series solution
Cauchy problem
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Nonlinear Analysis: Real World Applications
Nonlinear Analysis: Theory, Methods & Applications
Nonlinear Analysis: Hybrid Systems
Expositiones Mathematicae
Journal of Functional Analysis
Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Applied and Computational Harmonic Analysis
Differential Geometry and its Applications
Journal of Approximation Theory
Journal of Complexity
Journal of Mathematical Analysis and Applications
Transactions of A. Razmadze Mathematical Institute
Daneshyari provides fulltext access to millions of research papers.