Nonlinear Analysis and Microlocal Analysis

The Table of Contents for the book is as follows:

• A Morse Theory for Geodesics in Lorentzian Manifolds
• Non-linear Microlocal Analysis and 2-D Fluid Mechanics
• Essentially Multidimensional Cauchy Problems for Semilinear Hyperbolic Equations with Discontinuous Data
• Some Recent Results on the Heat Flow of Harmonic Maps
• The Generalized Moser–Trudinger Inequality
• On Darboux's System
• Minimal Surfaces of Higher Genus and General Critical Type
• Subelliptic Symbolic Calculus
• Some Partial Differential Equations in Mathematical Physics
• A Remark on Homoclinic Orbits for Hamiltonian Systems
• On the Second Term Asymptotics of the “Counting Function” for Fractal Drums
• On The Essential Spectrum of Pseudodifferential Operators I
• A Variational Approach to Periodic Solutions of Hamiltonian Systems Near the Fundamental Periods of the Linear Part
• Estimates on the the Minimal Period for Periodic Solutions of Autonomous Superquadratic Second Order Hamiltonian Systems
• A Remark on the Weinstein Conjecture in M × ℝ^2N
• Interaction of Multi-Dimensional Shock and Weak Singularities for 2 Conservation Laws
• Harmonic Maps from Noncompact Riemannian Manifolds with Nonnegative Ricci Curvature Outside a Compact Set
• Travelling Wave Solutions for a Class of Cross-Diffusion Systems with Small Parameters
• Pontryagin Maximum Principle for Second Order Quasilinear Elliptic Partial Differential Equations
• A Boundness Criterion for Paraproduct in the Space of Conormal Distribution H^s,k{X₁ = 0}
• The Cauchy Problem of p-Laplacian Equation with Absorption
• L^p Decay Rates for Solutions of Nonlinear Massless Klein-Gordon Equations
• Appendix
• Author Index