Inverse problems for parabolic equations 2

✍ Scribed by A.G. Ramm

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 118 KB
• Volume: 12
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2005.10.004

✦ Synopsis

Let u t À u xx = h(t) in 0 6 x 6 p, t P 0. Assume that u(0, t) = v(t), u(p, t) = 0, and u(x, 0) = g(t). The problem is: what extra data determine the three unknown functions {h, v, g} uniquely? This question is answered and an analytical method for recovery of the above three functions is proposed.