Nonlinear Wave Equations
Satyanad Kichenassamy
Abstract
This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.
Topics & Concepts
Nonlinear systemSingularityPerturbation (astronomy)Applied mathematicsMathematicsMathematical analysisPhysicsQuantum mechanicsNumerical methods for differential equations