| An Inverse Problem for a Nonlinear Evolution Equation |
| Received:March 10, 1998 |
| Key Words:
evolution equation inverse problem semigroup theory fixed pointmethod.
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| Fund Project:Supported by the Post-doctorate Science Foundation and the National NSF of China |
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| Abstract: |
| This paper deals with an inverse problem for the unknown source term in a nonlinear evolution equation. Firstly, the authors change the initial boundary value problem (IBVP) for the equation into a Cauchy problem for a certain nonlinear evolution equation. Secondly, using the semigroup theory, the authors establish the existence and uniqueness of the solution for the inverse problem. Finally, they take advantage of the fixed point method for some contraction mapping and get the solvability of the inverse problem for the evolution equation. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2001.01.010 |
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