UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS
The purpose of this paper is to identify the unknown source term in a multidimensional parabolic equation by means of a one-point interior measurement of the solution at x0 <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>Ω, i.e. u(x0, .) on [0, T ]; or a one-po...
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Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2004
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Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200001 |
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Sumario: | The purpose of this paper is to identify the unknown source term in a multidimensional parabolic equation by means of a one-point interior measurement of the solution at x0 <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>Ω, i.e. u(x0, .) on [0, T ]; or a one-point boundary measurement, i.e. u(<IMG SRC="http:/fbpe/img/proy/v23n2/x.gif" WIDTH=15 HEIGHT=16>0, .) on [0, T ] with <IMG SRC="http:/fbpe/img/proy/v23n2/x.gif" WIDTH=15 HEIGHT=16>0 <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16><IMG SRC="http:/fbpe/img/proy/v23n2/letra.jpg" WIDTH=9 HEIGHT=16>Ω. |
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