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Partial Differential Equations and Mathematical Physics: In Memory of Jean Leray (Progress in Nonlinear Differential Equations and Their Applications Book 52) by Vincenzo Ancona, Bernard Gaveau (auth.), Kunihiko Kajitani, Jean Vaillant (eds.) is a nonfiction available to read on EtoBox.
What is Partial Differential Equations and Mathematical Physics: In Memory of Jean Leray (Progress in Nonlinear Differential Equations and Their Applications Book 52) about?
The 17 invited research articles in this volume, all written by leading experts in their respective fields, are dedicated to the great French mathematician Jean Leray. A wide range of topics with significant new results---detailed proofs---are presented in the areas of partial differential equations, complex analysis, and mathematical physics. Key subjects are: \* Treated from the mathematical physics viewpoint: nonlinear stability of an expanding universe, the compressible Euler equation, spin groups and the Leray--Maslov index, \* Linked to the Cauchy problem: an intermediate case between effective hyperbolicity and the Levi condition, global Cauchy--Kowalewski theorem in some Gevrey classes, the analytic continuation of the solution, necessary conditions for hyperbolic systems, well posedness in the Gevrey class, uniformly diagonalizable systems and reduced dimension, and monodromy of ramified Cauchy problem. Additional articles examine results on: \* Local solvability for a system of partial differential operators, \* The hypoellipticity of second order operators, \* Differential forms and Hodge theory on analytic spaces, \* Subelliptic operators and sub- Riemannian geometry. C
Who reads Partial Differential Equations and Mathematical Physics: In Memory of Jean Leray (Progress in Nonlinear Differential Equations and Their Applications Book 52)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Vincenzo Ancona, Bernard Gaveau (auth.), Kunihiko Kajitani, Jean Vaillant (eds.)
- Publisher
- Birkhäuser Boston; Imprint: Birkhäuser
- Published
- 2003
- Language
- EN
- ISBN
- 9781461200116
- Category
- nonfiction
- Subjects
- Science, Mathematics, Physics
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