The Maslov Index in PDEs Geometry

DOI10.1007/978-3-319-31338-2_13zbMath1406.53081arXiv1503.07851OpenAlexW1708220699MaRDI QIDQ4554332

Agostino Prástaro

Publication date: 13 November 2018

Published in: Essays in Mathematics and its Applications, Mathematics Without Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07851

zbMATH Keywords

conservation lawsMaslov indexcrystallographic groupssingular PDEsexotic spheresexistence of local and global solutions in PDEsPDE geometryintegral (co)bordism groups in PDEs

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (1)

Exotic n-D’Alembert PDEs and Stability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear analysis. Stability, approximation, and inequalities. In honor of Themistocles M. Rassias on the occasion of his 60th birthday
• Exotic heat PDE's
• Extended crystal PDE's stability. I: The general theory
• Extended crystal PDE'S stability, II: The extended crystal MHD-PDE'S
• Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems
• Determination of the cobordism ring
• Generalized Poincaré's conjecture in dimensions greater than four
• Quelques calculs en corbordisme lagrangien
• The Maslov index as a quadratic space
• Actions with a finite number of orbits
• The Weil representation, Maslov index and theta series
• Floer homology and splittings of manifolds
• Quantum and integral (co)bordisms in partial differential equations
• Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism
• Quantum geometry of PDE's
• The Maslov index, the spectral flow, and decompositions of manifolds
• (Co)bordism groups in PDEs
• On the extended crystal PDE's stability. I: The \(n\)-d'Alembert extended crystal PDE's
• On the extended crystal PDE's stability. II: Entropy-regular-solutions in MHD-PDE's
• (Un)stability and bordism groups in PDEs
• Geometry of PDE's. IV: Navier-Stokes equation and integral bordism groups
• Geometry of PDEs. I: Integral bordism groups in PDEs
• Geometry of PDE's. II: Variational PDE's and integral bordism groups
• Integrability criteria for systems of nonlinear partial differential equations
• Non-additivity of the signature
• Fourier integral operators. I
• Quelques propriétés globales des variétés différentiables
• Sur l'itération des opérations de Steenrod
• Smooth manifolds and their applications in homotopy theory
• Partial Differential Relations
• On the Structure of Manifolds
• Differential Topology
• On the maslov index
• Lagrangian cobordism. I
• Mathematics Without Boundaries
• Mathematics Without Boundaries
• On the Hauptvermutung for manifolds
• Differentiable dynamical systems
• Essays in Mathematics and its Applications

This page was built for publication: The Maslov Index in PDEs Geometry