中图分类法:
O175 版次:
著者:
Alinhac, S.
题名:
Geometric analysis of hyperbolic differential equations : [ an introduction /] / ,
出版发行:
出版地: Cambridge, UK ; 出版社: Cambridge University Press, 出版日期: 2010.
载体形态:
ix, 118 p. ; 23 cm.
内容提要:
"Its self-contained presentation and `do-it-yourself` approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required"--Provided by publisher.
内容提要:
"The field of nonlinear hyperbolic equations or systems has seen a tremendous development since the beginning of the 1980s. We are concentrating here on multidimensional situations, and on quasilinear equations or systems, that is, when the coefficients of the principal part depend on the unknown function itself. The pioneering worksb