By Claude Sabbah
This standpoint is generalized to holonomic structures of linear differential equations within the complicated area, and a normal Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a fancy manifold. functions to the distributions options to such structures also are mentioned, and numerous operations on Stokes-filtered neighborhood structures are analyzed.
Read or Download Introduction to Stokes Structures (Lecture Notes in Mathematics) PDF
Similar differential equations books
Incorporating a couple of improvements, answer ideas for user-friendly Partial Differential Equations, moment version provides one of the most very important and favourite tools for fixing partial differential equations (PDEs). The concepts lined comprise separation of variables, approach to features, eigenfunction growth, Fourier and Laplace modifications, Green’s features, perturbation equipment, and asymptotic research.
Written through a number one pupil in arithmetic, this monograph discusses the Radon remodel, a box that has extensive ranging purposes to X-ray expertise, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this ebook, Ehrenpreis specializes in fresh examine and highlights the powerful dating among high-level natural arithmetic and purposes of the Radon remodel to parts resembling scientific imaging.
This monograph is meant to offer the basics of the idea of summary parabolic evolution equations and to teach how one can practice to numerous nonlinear dif- sion equations and platforms coming up in technology. the idea offers us a uni? ed and s- tematic remedy for concrete nonlinear diffusion versions.
Medical Computing and Differential Equations: An creation to Numerical equipment, is a superb supplement to creation to Numerical equipment via Ortega and Poole. The e-book emphasizes the significance of fixing differential equations on a working laptop or computer, which contains a wide a part of what has emerge as known as clinical computing.
- Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica
- Numerical Methods for Delay Differential Equations (Numerical Mathematics and Scientific Computation)
- Microlocal Methods in Mathematical Physics and Global Analysis (Trends in Mathematics)
- Oscillations and Resonances: Volume I: Oscillations and resonances: Volume 1 (De Gruyter Series in Nonlinear Analysis and Applications)
Additional resources for Introduction to Stokes Structures (Lecture Notes in Mathematics)