Fw: new_abstracts 19 125

[Maria Odete Madeira]

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Subject: new_abstracts 19 125

NEW ABSTRACTS (Apr 25 to May 2)

==================== 19-32 ====================

C. Connell McCluskey, Vitali Vougalter

Inverse problems for some systems of parabolic equations

(86K, pdf)

ABSTRACT.  We study the system u_{t}-Au_{xx}=h(t), where 0\leq x\leq \pi, t\geq 0,

assuming that u(0, t)=v(t), u(\pi, t)=0, and u(x, 0)=g(x). The coupling matrix A is a real, diagonalizable matrix for which all of the eigenvalues are positive reals. The question is: What extra data determine the three unknown vector functions {h, v, g} uniquely? This problem is solved and an analytical method for the recovery of the above three vector functions is presented.

http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=19-32

http://www.maia.ub.es/mp_arc-bin/mpa?yn=19-32

http://kleine.mat.uniroma3.it/mp_arc-bin/mpa?yn=19-32