Sharp local well-posedness results for the nonlinear wave equation

• 成果类型: Article
• 署名作者: Smith, HF; Tataru, D
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2005.162.291
• 发表日期: 2005
• 页码: 291-366
• 关键词: 2nd-order hyperbolic operators; nonsmooth coefficients; strichartz; REGULARITY; EXISTENCE; counterexamples

摘要

This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data. The new results obtained here are sharp in low dimension.