Scholarlink

We prove that if u is a solution to the damped wave equation \(\partial ^2_{t}u+a(x)\partial _{t}u-(\text{ div}_x\left (A(x)\nabla _x u\right )=0\) and u is flat on a segment \(\{x_0\}\times (-T,T)\) (T finite) then u vanishes in a neighborhood of \(\{x_0\}\times (-T,T)\) . This short review is based on the work Sergio, Vessella (2021 Ann. Mat. Pura Appl., 200, 1399–1415)

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Strong Unique Continuation for the Damped Wave Equation with Time Independent Coefficients

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Sergio Vessella

摘要

We prove that if u is a solution to the damped wave equation \(\partial ^2_{t}u+a(x)\partial _{t}u-(\text{ div}_x\left (A(x)\nabla _x u\right )=0\) and u is flat on a segment \(\{x_0\}\times (-T,T)\) (T finite) then u vanishes in a neighborhood of \(\{x_0\}\times (-T,T)\) . This short review is based on the work Sergio, Vessella (2021 Ann. Mat. Pura Appl., 200, 1399–1415)