Geometric wave equations. (English) Zbl 0993.35001

Courant Lecture Notes in Mathematics. 2. New York, NY: New York University, Courant Institute of Mathematical Sciences. viii, 153 p. (1998).
Authors’ abstract: “The book contains notes of the lectures given at the Courant Institute and a DMV-Seminar at Oberwolfach. The focus is on the recent work of the authors on semilinear wave equations with critical Sobolev exponents and on wave maps in two space dimensions. Background material and references have been added to make the notes self-contained. The book is suitable for use in a graduate-level course on the topic”.


35-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations
35L70 Second-order nonlinear hyperbolic equations
58J45 Hyperbolic equations on manifolds
35B33 Critical exponents in context of PDEs