Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759965 | Communications in Nonlinear Science and Numerical Simulation | 2007 | 4 Pages |
Abstract
Let ut − uxx = h(t) in 0 ⩽ x ⩽ π, t ⩾ 0. Assume that u(0, t) = v(t), u(π, 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.
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Authors
A.G. Ramm,