Reconstructing an even damping from a single spectrum
نویسندگان
چکیده
منابع مشابه
Reconstructing an Even Damping from a Single Spectrum
We consider the wave equation on a finite interval with fixed ends and nonuniform viscous damping. We prove that the spectrum of the associated damped wave operator uniquely determines an even damping. We then develop a refined asymptotic formula for the high frequencies. When the damping is even about the domain’s midpoint, terms in this expansion are Fourier coefficients for functions of the ...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2011
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/27/3/035012