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Studies in Phase Space Analysis with Applications to PDEs
This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of …
The Pullback Equation for Differential Forms
An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables. The problem is therefore to find a map f so that it …
An Introduction to Nonlinear Functional Analysis and Elliptic Problems
This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems. By first outlining …
Extensions of Moser–Bangert Theory
This monograph presents extensions of the Moser–Bangert approach that include solutions of a family of nonlinear elliptic PDEs on Rn and an Allen–Cahn PDE model of phase …
Nonlinear Partial Differential Equations
The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di?erential equations of …
Spectral Methods in Surface Superconductivity
During the past decade, the mathematics of superconductivity has been the subject of intense activity. This book examines in detail the nonlinear Ginzburg–Landau functional, the …
Advances in Phase Space Analysis of Partial Differential Equations
The present volume is a collection of papers mainly concerning Phase Space Analysis,alsoknownasMicrolocal Analysis,anditsapplicationstothetheory of Partial Di?erential Equations …
Global Propagation of Regular Nonlinear Hyperbolic Waves
This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, …
Selfdual Gauge Field Vortices
In modern theoretical physics, gauge field theories are of great importance since they keep internal symmetries and account for phenomena such as spontaneous symmetry breaking, the …
Nonlinear Oscillations of Hamiltonian PDEs
Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of …
Fuchsian Reduction
Fuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities. The technique has multiple applications including soliton theory, Einstein's …
Vortices in the Magnetic Ginzburg-Landau Model
More than ten years have passed since the book of F. Bethuel, H. Brezis and F. H´ elein, which contributed largely to turning Ginzburg–Landau equations from a renowned physics …