A collection of papers on current topics and future problems in the theory of differential equations which were reported at the Taniguchi symposium (Katata) and RIMS symposium (Kyoto); Painlevé transcendents, Borel resummation, linear differential equations of infinite order, solvability of microdifferential equations, Gevrey index, etc. are among them.
Sample Chapter(s)
WKB analysis of Painlevé transcendents with a large parameter. II. — Multiple-scale analysis of Painlevé transcendents. (1,139 KB)
Contents:
- Exponential Representation of a Holomorphic Solution of a System of Differential Equations Associated with the Theta-Zerovalue (C A Berenstein et al.)
- Extension and Lacunas of Solutions of Linear Partial Differential Equations on Ultradifferentiable Functions of Beurling Type (U Franken & R Meise)
- Holomorphic and Singular Solutions of Nonlinear Singular Partial Differential Equations, II (R Gérard & H Tahara)
- On the Solvability of Pseudodifferential Equations (L Hörmander)
- Microlocal Analysis of Boundary Value Problems with Regular or Fractional Power Singularities (K Kataoka)
- Solution of Differential Equations by Means of Laplace Hyperfunctions (H Komatsu)
- Vanishing Theorems in Asymptotic Analysis III (H Majima et al.)
- On the Extension of Holonomic Systems (B Malgrange)
- Analytic Functionals on the Complex Sphere and Eigenfunctions of the Laplacian on the Lie Ball (M Morimoto & K Fujita)
- Function Spaces Associated to Global I-Lagrangian Manifolds (J Sjöstrand)
- and other papers
Readership: Graduates and researchers in pure mathematics.
