Abstract
We consider the determination of the inhomogeneous term in evolution equations from an overspecified data. We present some existence and uniqueness results established by the author in [1,2]. We also show how this results can be applied to some inverse problems associated to the classical partial differential equations.
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Choulli, M: An abstract inverse problem and application. J. Math. Anal. Appl. 160 (1991) 190–202.
Choulli, M.: Inverse problems for inhomogeneous term in partial differential equations. To appear.
Dautray, R., Lions J. L. (ed): Analyse mathématiques et calcul numérique pour des sciences et les techniques. Masson, 1984.
Goldstein, J. A.: Semigroups of linear operators and applications. Oxford Mathematical Monographs, 1985.
Nagel, R.: One parameter semigroup of positive operators. Springer-Verlag, LN 1184, Berlin, 1986.
Stewart, H. B.: Generation of analytics semigroups by strongly elliptic operators. Trans. Amer. Math. Soc. 199 (1974) 141–162.
Travis, C. C., Webb, G. F.: Cosine families and abstract nonlinear second order differential equations. Acta Mathematica, Academiae Scientiarum Hungaricae 32 (1978) 75–79.
Yosida, K.: Functional analysis, (Fifth edition). Springer-Verlag, Berlin 1978.
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© 1993 Springer-Verlag
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Choulli, M. (1993). Determination of the inhomogeneous term in evolution equations. In: Päivärinta, L., Somersalo, E. (eds) Inverse Problems in Mathematical Physics. Lecture Notes in Physics, vol 422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57195-7_4
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DOI: https://doi.org/10.1007/3-540-57195-7_4
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