Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition

スポンサーリンク

概要

• 論文の詳細を見る

• We prove global existence of solutions to multiple speed, Dirichlet-wave equations with quadratic nonlinearities satisfying the null condition in the exterior of compact obstacles. This extends the result of our previous paper by allowing general higher order terms. In the currect setting, these terms are much more difficult to handle than for the free wave equation, and we do so using an analog of a pointwise estimate due to Kubota and Yokoyama.

• 社団法人 日本数学会の論文
• 2005-12-01

著者

• NAKAMURA Makoto

  Graduate School of Information Science, Tohoku University

• Sogge Christopher

  Department Of Mathematics Johns Hopkins University

• Metcalfe Jason

  Department Of Mathematics University Of California

関連論文

• A New Coding Scheme for Infrared ASK Communication Systems Which Have Zero-Spectrum Points within the Main-Lobe Region (Joint Special Issue on Recent Progress in Optoelectronics and Communications)
• A New Coding Scheme for Infrared ASK Communication Systems Which Have Zero-Spectrum Points within the Main-Lobe Region (Joint Special Issue on Recent Progress in Optoelectronics and Communications)
• The Cauchy Problem for Nonlinear Klein-Gordon Equations in the Sobolev Spaces
• Kakeya-Nikodym averages and $L^p$-norms of eigenfunctions
• Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition

スポンサーリンク